<?xml version="1.0" encoding="US-ASCII"?>
<!-- Generated by DFIN XBRL Schema Document - http://www.dfinsolutions.com/ - on 26-10-2026 08:44:17 PM -->
<!-- Copyright(c) 2026 Donnelley Financial Solutions, Inc. All Rights Reserved. -->
<schema targetNamespace="http://www.bny.com/20261021" xmlns="http://www.w3.org/2001/XMLSchema" xmlns:bmetii="http://www.bny.com/20261021" xmlns:dei="http://xbrl.sec.gov/dei/2025" xmlns:srt-types="http://fasb.org/srt-types/2025" xmlns:deprecated="http://www.xbrl.org/2009/role/deprecated" xmlns:dtr="http://www.xbrl.org/2009/dtr" xmlns:oef="http://xbrl.sec.gov/oef/2025" xmlns:ref="http://www.xbrl.org/2006/ref" xmlns:xbrldt="http://xbrl.org/2005/xbrldt" xmlns:xl="http://www.xbrl.org/2003/XLink" xmlns:us-gaap="http://fasb.org/us-gaap/2025" xmlns:oef-pre="http://xbrl.sec.gov/oef-pre/2025" xmlns:oef-lab="http://xbrl.sec.gov/oef-lab/2025" xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:country="http://xbrl.sec.gov/country/2025" xmlns:us-roles="http://fasb.org/us-roles/2025" xmlns:enum2="http://xbrl.org/2020/extensible-enumerations-2.0" xmlns:us-types="http://fasb.org/us-types/2025" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:dtr-types="http://www.xbrl.org/dtr/type/2024-01-31" xmlns:oef-def="http://xbrl.sec.gov/oef-def/2025" xmlns:negated="http://www.xbrl.org/2009/role/negated" xmlns:xbrldi="http://xbrl.org/2006/xbrldi" xmlns:srt="http://fasb.org/srt/2025" xmlns:oef-sr="http://xbrl.sec.gov/oef-sr/2025" xmlns:srt-roles="http://fasb.org/srt-roles/2025" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:xbrli="http://www.xbrl.org/2003/instance" xmlns:stpr="http://xbrl.sec.gov/stpr/2025" elementFormDefault="qualified">
	<import namespace="http://www.xbrl.org/2003/instance" schemaLocation="http://www.xbrl.org/2003/xbrl-instance-2003-12-31.xsd"/>
	<import namespace="http://www.xbrl.org/2003/linkbase" schemaLocation="http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd"/>
	<import namespace="http://xbrl.sec.gov/dei/2025" schemaLocation="https://xbrl.sec.gov/dei/2025/dei-2025.xsd"/>
	<import namespace="http://fasb.org/us-types/2025" schemaLocation="https://xbrl.fasb.org/us-gaap/2025/elts/us-types-2025.xsd"/>
	<import namespace="http://www.xbrl.org/dtr/type/2024-01-31" schemaLocation="https://www.xbrl.org/dtr/type/2024-01-31/types.xsd"/>   
	<import namespace="http://xbrl.sec.gov/country/2025" schemaLocation="https://xbrl.sec.gov/country/2025/country-2025.xsd"/>
	<import namespace="http://fasb.org/srt/2025" schemaLocation="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd"/>
	<import namespace="http://fasb.org/srt-types/2025" schemaLocation="https://xbrl.fasb.org/srt/2025/elts/srt-types-2025.xsd"/>
	<import namespace="http://xbrl.sec.gov/oef-sr/2025" schemaLocation="https://xbrl.sec.gov/oef/2025/oef-sr-2025.xsd"/>
	<import namespace="http://fasb.org/us-gaap/2025" schemaLocation="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd"/>
	<import namespace="http://fasb.org/us-roles/2025" schemaLocation="https://xbrl.fasb.org/us-gaap/2025/elts/us-roles-2025.xsd"/>
	<import namespace="http://fasb.org/srt-roles/2025" schemaLocation="https://xbrl.fasb.org/srt/2025/elts/srt-roles-2025.xsd"/>
	<annotation>
		<appinfo>
			<link:linkbase id="lnk">
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				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/ShareholderReport" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#ShareholderReport"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/ShareholderReportHoldingsDetails" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#ShareholderReportHoldingsDetails"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/ShareholderReportLineGraphDetails" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#ShareholderReportLineGraphDetails"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/ShareholderReportAverageAnnualReturnDetails" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#ShareholderReportAverageAnnualReturnDetails"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/ClassOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#ClassOnly"/>
				<link:roleRef roleURI="http://fasb.org/us-gaap/role/eedm/ExtensibleEnumerationLists" xlink:type="simple" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-roles-2025.xsd#eedm"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/LargestHoldingOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#LargestHoldingOnly"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/Other1CategoryOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#Other1CategoryOnly"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/AdditionalIndexOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#AdditionalIndexOnly"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/BroadBasedIndexOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#BroadBasedIndexOnly"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/Other2CategoryOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#Other2CategoryOnly"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/SalesLoadOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#SalesLoadOnly"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/MaturityOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#MaturityOnly"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/IndustrySectorOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#IndustrySectorOnly"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/CreditQualityOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#CreditQualityOnly"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/GeographicRegionOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#GeographicRegionOnly"/>
				<link:presentationLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/ShareholderReport">              
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_ShareClassDomain" xlink:label="ShareClassDomain"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_C000256918Member" xlink:label="C000256918Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000256918Member" order="2.0" />
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					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000264331Member" order="5.0" />
					<link:loc xlink:type="locator" xlink:href="#bmetii_C000264332Member" xlink:label="C000264332Member"/>
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				<link:presentationLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/ShareholderReportHoldingsDetails">               
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					<link:loc xlink:type="locator" xlink:href="#bmetii_C000256918Member" xlink:label="C000256918Member"/>
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					<link:loc xlink:type="locator" xlink:href="#bmetii_C000264329Member" xlink:label="C000264329Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000264329Member" order="3.0" />
					<link:loc xlink:type="locator" xlink:href="#bmetii_C000264330Member" xlink:label="C000264330Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000264330Member" order="4.0" />
					<link:loc xlink:type="locator" xlink:href="#bmetii_C000264331Member" xlink:label="C000264331Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000264331Member" order="5.0" />
					<link:loc xlink:type="locator" xlink:href="#bmetii_C000264332Member" xlink:label="C000264332Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000264332Member" order="6.0" />
					<link:loc xlink:type="locator" xlink:href="#bmetii_C000264333Member" xlink:label="C000264333Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000264333Member" order="7.0" />   
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentTypeCategorizationMember" xlink:label="InvestmentTypeCategorizationMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_NetOtherAssetsAndLiabilitiesMember" xlink:label="NetOtherAssetsAndLiabilitiesMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="InvestmentTypeCategorizationMember" xlink:to="NetOtherAssetsAndLiabilitiesMember" order="2.0" />
					<link:loc xlink:type="locator" xlink:href="#bmetii_InvestmentCompaniesMember" xlink:label="InvestmentCompaniesMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="InvestmentTypeCategorizationMember" xlink:to="InvestmentCompaniesMember" order="3.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CollateralizedLoanObligationsMember" xlink:label="CollateralizedLoanObligationsMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="InvestmentTypeCategorizationMember" xlink:to="CollateralizedLoanObligationsMember" order="4.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_USTreasurySecuritiesMember" xlink:label="USTreasurySecuritiesMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="InvestmentTypeCategorizationMember" xlink:to="USTreasurySecuritiesMember" order="5.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetBackedSecuritiesMember" xlink:label="AssetBackedSecuritiesMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="InvestmentTypeCategorizationMember" xlink:to="AssetBackedSecuritiesMember" order="6.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommercialMortgageBackedSecuritiesMember" xlink:label="CommercialMortgageBackedSecuritiesMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="InvestmentTypeCategorizationMember" xlink:to="CommercialMortgageBackedSecuritiesMember" order="7.0" />
					<link:loc xlink:type="locator" xlink:href="#bmetii_MortgageSecuritiesMember" xlink:label="MortgageSecuritiesMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="InvestmentTypeCategorizationMember" xlink:to="MortgageSecuritiesMember" order="8.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_GovernmentMember" xlink:label="GovernmentMember"/>
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					<link:loc xlink:type="locator" xlink:href="#bmetii_CorporateBondsAndNotesMember" xlink:label="CorporateBondsAndNotesMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="InvestmentTypeCategorizationMember" xlink:to="CorporateBondsAndNotesMember" order="10.0" />
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					<link:loc xlink:type="locator" xlink:href="#bmetii_MunicipalSecuritiesMember" xlink:label="MunicipalSecuritiesMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="InvestmentTypeCategorizationMember" xlink:to="MunicipalSecuritiesMember" order="15.0" />
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					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="InvestmentTypeCategorizationMember" xlink:to="MortgageBackedSecuritiesIssuedByUSGovernmentSponsoredEnterprisesMember" order="16.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FutureMember" xlink:label="FutureMember"/>
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					<link:loc xlink:type="locator" xlink:href="#bmetii_GeneralObligationMember" xlink:label="GeneralObligationMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="InvestmentTypeCategorizationMember" xlink:to="GeneralObligationMember" order="18.0" />
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					<link:loc xlink:type="locator" xlink:href="#bmetii_NetOtherAssetsAndLiabilitiesCountryMember" xlink:label="NetOtherAssetsAndLiabilitiesCountryMember"/>
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					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="OtherCategory1Domain" xlink:to="USRelatedMember" order="3.0" />
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					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="JohnsonAndJohnsonMember" order="2.0" />
					<link:loc xlink:type="locator" xlink:href="#bmetii_CiscoSystemsIncMember" xlink:label="CiscoSystemsIncMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="CiscoSystemsIncMember" order="3.0" />
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					<link:loc xlink:type="locator" xlink:href="#bmetii_UnitedHealthGroupIncMember" xlink:label="UnitedHealthGroupIncMember"/>
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					<link:loc xlink:type="locator" xlink:href="#bmetii_MicrosoftCorpMember" xlink:label="MicrosoftCorpMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="MicrosoftCorpMember" order="10.0" />
					<link:loc xlink:type="locator" xlink:href="#bmetii_CitigroupGlobalMarketsHoldingsIncMember" xlink:label="CitigroupGlobalMarketsHoldingsIncMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="CitigroupGlobalMarketsHoldingsIncMember" order="11.0" />
					<!--GeographicRegionDomain Only presentation and label linkbases-->			 
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_GeographicRegionDomain" xlink:label="GeographicRegionDomain"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_AL" xlink:label="AL"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="AL" order="2.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_AZ" xlink:label="AZ"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="AZ" order="3.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_CA" xlink:label="CA"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="CA" order="4.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_CO" xlink:label="CO"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="CO" order="5.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_CT" xlink:label="CT"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="CT" order="6.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_DC" xlink:label="DC"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="DC" order="7.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_FL" xlink:label="FL"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="FL" order="8.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_GA" xlink:label="GA"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="GA" order="9.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_IL" xlink:label="IL"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="IL" order="10.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_IN" xlink:label="IN"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="IN" order="11.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_KY" xlink:label="KY"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="KY" order="12.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_MD" xlink:label="MD"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="MD" order="13.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_MA" xlink:label="MA"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="MA" order="14.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_MI" xlink:label="MI"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="MI" order="15.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_MN" xlink:label="MN"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="MN" order="16.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_MO" xlink:label="MO"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="MO" order="17.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_NE" xlink:label="NE"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="NE" order="18.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_NV" xlink:label="NV"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="NV" order="19.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_NJ" xlink:label="NJ"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="NJ" order="20.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_NY" xlink:label="NY"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="NY" order="21.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_OH" xlink:label="OH"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="OH" order="22.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_OR" xlink:label="OR"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="OR" order="23.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_PA" xlink:label="PA"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="PA" order="24.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_RI" xlink:label="RI"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="RI" order="25.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_TN" xlink:label="TN"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="TN" order="26.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_TX" xlink:label="TX"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="TX" order="27.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_UT" xlink:label="UT"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="UT" order="28.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_WA" xlink:label="WA"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="WA" order="29.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_WI" xlink:label="WI"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="WI" order="30.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_VA" xlink:label="VA"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="VA" order="31.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_OK" xlink:label="OK"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="OK" order="32.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_LA" xlink:label="LA"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="LA" order="33.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_AR" xlink:label="AR"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="AR" order="34.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_IA" xlink:label="IA"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="IA" order="35.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_MS" xlink:label="MS"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="MS" order="36.0" />
					<!--IndustrySectorDomain Only presentation and label linkbases-->	
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_IndustrySectorDomain" xlink:label="IndustrySectorDomain"/>	
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_UtilitiesSectorMember" xlink:label="UtilitiesSectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="UtilitiesSectorMember" order="2.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_MaterialsSectorMember" xlink:label="MaterialsSectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="MaterialsSectorMember" order="3.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_InformationTechnologySectorMember" xlink:label="InformationTechnologySectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="InformationTechnologySectorMember" order="4.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_IndustrialSectorMember" xlink:label="IndustrialSectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="IndustrialSectorMember" order="5.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_ConsumerStaplesSectorMember" xlink:label="ConsumerStaplesSectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="ConsumerStaplesSectorMember" order="6.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_ConsumerDiscretionarySectorMember" xlink:label="ConsumerDiscretionarySectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="ConsumerDiscretionarySectorMember" order="7.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_CommunicationsSectorMember" xlink:label="CommunicationsSectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="CommunicationsSectorMember" order="8.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RealEstateSectorMember" xlink:label="RealEstateSectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="RealEstateSectorMember" order="9.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_HealthcareSectorMember" xlink:label="HealthcareSectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="HealthcareSectorMember" order="10.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinancialServicesSectorMember" xlink:label="FinancialServicesSectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="FinancialServicesSectorMember" order="11.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EnergySectorMember" xlink:label="EnergySectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="EnergySectorMember" order="12.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_TechnologySectorMember" xlink:label="TechnologySectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="TechnologySectorMember" order="13.0" />
					<link:loc xlink:type="locator" xlink:href="#bmetii_AssetBackedSecuritiesSectorMember" xlink:label="AssetBackedSecuritiesSectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="AssetBackedSecuritiesSectorMember" order="14.0" />
					<link:loc xlink:type="locator" xlink:href="#bmetii_ConsumerCyclicalMember" xlink:label="ConsumerCyclicalMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="ConsumerCyclicalMember" order="15.0" />
					<link:loc xlink:type="locator" xlink:href="#bmetii_CollateralizedLoanObligationsSectorMember" xlink:label="CollateralizedLoanObligationsSectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="CollateralizedLoanObligationsSectorMember" order="16.0" />
					<link:loc xlink:type="locator" xlink:href="#bmetii_ConsumerNonCyclicalMember" xlink:label="ConsumerNonCyclicalMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="ConsumerNonCyclicalMember" order="17.0" />
					<link:loc xlink:type="locator" xlink:href="#bmetii_NetOtherAssetsAndLiabilitiesSectorMember" xlink:label="NetOtherAssetsAndLiabilitiesSectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="NetOtherAssetsAndLiabilitiesSectorMember" order="18.0" />
					<link:loc xlink:type="locator" xlink:href="#bmetii_InvestmentCompaniesSectorMember" xlink:label="InvestmentCompaniesSectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="InvestmentCompaniesSectorMember" order="19.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_GovernmentSectorMember" xlink:label="GovernmentSectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="GovernmentSectorMember" order="20.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_TransportationSectorMember" xlink:label="TransportationSectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="TransportationSectorMember" order="21.0" />
					<link:loc xlink:type="locator" xlink:href="#bmetii_MedicalMember" xlink:label="MedicalMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="MedicalMember" order="22.0" />
					<link:loc xlink:type="locator" xlink:href="#bmetii_AirportMember" xlink:label="AirportMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="AirportMember" order="23.0" />
					<link:loc xlink:type="locator" xlink:href="#bmetii_EducationMember" xlink:label="EducationMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="EducationMember" order="24.0" />
					<link:loc xlink:type="locator" xlink:href="#bmetii_HousingMember" xlink:label="HousingMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="HousingMember" order="25.0" />
					<link:loc xlink:type="locator" xlink:href="#bmetii_WaterAndSewerMember" xlink:label="WaterAndSewerMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="WaterAndSewerMember" order="26.0" />
					<link:loc xlink:type="locator" xlink:href="#bmetii_SchoolDistrictMember" xlink:label="SchoolDistrictMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="SchoolDistrictMember" order="27.0" />
					<link:loc xlink:type="locator" xlink:href="#bmetii_DevelopmentMember" xlink:label="DevelopmentMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="DevelopmentMember" order="28.0" />
					<link:loc xlink:type="locator" xlink:href="#bmetii_TobaccoSettlementMember" xlink:label="TobaccoSettlementMember"/>
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					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_LargestHoldingsDomain" xlink:label="LargestHoldingsDomain"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_JohnsonAndJohnsonMember" xlink:label="JohnsonAndJohnsonMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="JohnsonAndJohnsonMember" order="1.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_CiscoSystemsIncMember" xlink:label="CiscoSystemsIncMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="CiscoSystemsIncMember" order="2.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_SLBLtdMember" xlink:label="SLBLtdMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="SLBLtdMember" order="3.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_ATAndTIncMember" xlink:label="ATAndTIncMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="ATAndTIncMember" order="4.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_ColgatePalmoliveCoMember" xlink:label="ColgatePalmoliveCoMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="ColgatePalmoliveCoMember" order="5.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_FifthThirdBancorpMember" xlink:label="FifthThirdBancorpMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="FifthThirdBancorpMember" order="6.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_UnitedHealthGroupIncMember" xlink:label="UnitedHealthGroupIncMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="UnitedHealthGroupIncMember" order="7.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_JPMorganChaseAndCoMember" xlink:label="JPMorganChaseAndCoMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="JPMorganChaseAndCoMember" order="8.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_MicrosoftCorpMember" xlink:label="MicrosoftCorpMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="MicrosoftCorpMember" order="9.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_CitigroupGlobalMarketsHoldingsIncMember" xlink:label="CitigroupGlobalMarketsHoldingsIncMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="CitigroupGlobalMarketsHoldingsIncMember" order="10.0"/>
				</link:definitionLink>
				<link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/SalesLoadOnly">
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_WithSalesLoadMember" xlink:label="WithSalesLoadMember"/>
				</link:definitionLink>
				<link:definitionLink xlink:type="extended" xlink:role="http://fasb.org/us-gaap/role/eedm/ExtensibleEnumerationLists">               
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentTypeCategorizationMember" xlink:label="InvestmentTypeCategorizationMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_NetOtherAssetsAndLiabilitiesMember" xlink:label="NetOtherAssetsAndLiabilitiesMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="InvestmentTypeCategorizationMember" xlink:to="NetOtherAssetsAndLiabilitiesMember" order="1.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_InvestmentCompaniesMember" xlink:label="InvestmentCompaniesMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="InvestmentTypeCategorizationMember" xlink:to="InvestmentCompaniesMember" order="2.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CollateralizedLoanObligationsMember" xlink:label="CollateralizedLoanObligationsMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="InvestmentTypeCategorizationMember" xlink:to="CollateralizedLoanObligationsMember" order="3.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_USTreasurySecuritiesMember" xlink:label="USTreasurySecuritiesMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="InvestmentTypeCategorizationMember" xlink:to="USTreasurySecuritiesMember" order="4.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommercialMortgageBackedSecuritiesMember" xlink:label="CommercialMortgageBackedSecuritiesMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="InvestmentTypeCategorizationMember" xlink:to="CommercialMortgageBackedSecuritiesMember" order="5.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_MortgageSecuritiesMember" xlink:label="MortgageSecuritiesMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="InvestmentTypeCategorizationMember" xlink:to="MortgageSecuritiesMember" order="6.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_GovernmentMember" xlink:label="GovernmentMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="InvestmentTypeCategorizationMember" xlink:to="GovernmentMember" order="7.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_CorporateBondsAndNotesMember" xlink:label="CorporateBondsAndNotesMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="InvestmentTypeCategorizationMember" xlink:to="CorporateBondsAndNotesMember" order="8.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_USGovernmentAgenciesMortgageBackedLongMember" xlink:label="USGovernmentAgenciesMortgageBackedLongMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="InvestmentTypeCategorizationMember" xlink:to="USGovernmentAgenciesMortgageBackedLongMember" order="9.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_ForeignGovernmentalMember" xlink:label="ForeignGovernmentalMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="InvestmentTypeCategorizationMember" xlink:to="ForeignGovernmentalMember" order="10.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_USGovernmentAgenciesCommercialMortgageBackedMember" xlink:label="USGovernmentAgenciesCommercialMortgageBackedMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="InvestmentTypeCategorizationMember" xlink:to="USGovernmentAgenciesCommercialMortgageBackedMember" order="11.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_USGovernmentAgenciesMortgageBackedShortMember" xlink:label="USGovernmentAgenciesMortgageBackedShortMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="InvestmentTypeCategorizationMember" xlink:to="USGovernmentAgenciesMortgageBackedShortMember" order="12.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_MunicipalSecuritiesMember" xlink:label="MunicipalSecuritiesMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="InvestmentTypeCategorizationMember" xlink:to="MunicipalSecuritiesMember" order="13.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_MortgageBackedSecuritiesIssuedByUSGovernmentSponsoredEnterprisesMember" xlink:label="MortgageBackedSecuritiesIssuedByUSGovernmentSponsoredEnterprisesMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="InvestmentTypeCategorizationMember" xlink:to="MortgageBackedSecuritiesIssuedByUSGovernmentSponsoredEnterprisesMember" order="14.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FutureMember" xlink:label="FutureMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="InvestmentTypeCategorizationMember" xlink:to="FutureMember" order="15.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_GeneralObligationMember" xlink:label="GeneralObligationMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="InvestmentTypeCategorizationMember" xlink:to="GeneralObligationMember" order="16.0"/>
				</link:definitionLink>
				<link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/BroadBasedIndexOnly">               
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_BroadBasedIndexDomain" xlink:label="BroadBasedIndexDomain"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_Russell1000IndexMember" xlink:label="Russell1000IndexMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="BroadBasedIndexDomain" xlink:to="Russell1000IndexMember" order="1.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_DowJonesUSSelectDividendTMIndexMember" xlink:label="DowJonesUSSelectDividendTMIndexMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="BroadBasedIndexDomain" xlink:to="DowJonesUSSelectDividendTMIndexMember" order="2.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_BloombergUSAggregateBondIndexMember" xlink:label="BloombergUSAggregateBondIndexMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="BroadBasedIndexDomain" xlink:to="BloombergUSAggregateBondIndexMember" order="3.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_BloombergUSGovernmentCreditBondIndexMember" xlink:label="BloombergUSGovernmentCreditBondIndexMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="BroadBasedIndexDomain" xlink:to="BloombergUSGovernmentCreditBondIndexMember" order="4.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_BloombergUSIntermediateGovernmentCreditIndexMember" xlink:label="BloombergUSIntermediateGovernmentCreditIndexMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="BroadBasedIndexDomain" xlink:to="BloombergUSIntermediateGovernmentCreditIndexMember" order="5.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_BloombergUSIntermediateCreditIndexMember" xlink:label="BloombergUSIntermediateCreditIndexMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="BroadBasedIndexDomain" xlink:to="BloombergUSIntermediateCreditIndexMember" order="6.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_BloombergUSMunicipalBondIndexMember" xlink:label="BloombergUSMunicipalBondIndexMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="BroadBasedIndexDomain" xlink:to="BloombergUSMunicipalBondIndexMember" order="7.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_SAndPMunicipalBondIndexMember" xlink:label="SAndPMunicipalBondIndexMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="BroadBasedIndexDomain" xlink:to="SAndPMunicipalBondIndexMember" order="8.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_BloombergUSMunicipalBondC000264331IndexMember" xlink:label="BloombergUSMunicipalBondC000264331IndexMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="BroadBasedIndexDomain" xlink:to="BloombergUSMunicipalBondC000264331IndexMember" order="9.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_BloombergMunicipal315YearsBlendIndexMember" xlink:label="BloombergMunicipal315YearsBlendIndexMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="BroadBasedIndexDomain" xlink:to="BloombergMunicipal315YearsBlendIndexMember" order="10.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_SAndPMunicipalBondInvestmentGradeIntermediateIndexMember" xlink:label="SAndPMunicipalBondInvestmentGradeIntermediateIndexMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="BroadBasedIndexDomain" xlink:to="SAndPMunicipalBondInvestmentGradeIntermediateIndexMember" order="11.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_SAndPMunicipalBondC000264333IndexMember" xlink:label="SAndPMunicipalBondC000264333IndexMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="BroadBasedIndexDomain" xlink:to="SAndPMunicipalBondC000264333IndexMember" order="12.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_BloombergMunicipal13YearsIndexMember" xlink:label="BloombergMunicipal13YearsIndexMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="BroadBasedIndexDomain" xlink:to="BloombergMunicipal13YearsIndexMember" order="13.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_SAndPMunicipalBondInvestmentGradeShortIndexMember" xlink:label="SAndPMunicipalBondInvestmentGradeShortIndexMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="BroadBasedIndexDomain" xlink:to="SAndPMunicipalBondInvestmentGradeShortIndexMember" order="14.0"/>
				</link:definitionLink>
				<link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/AdditionalIndexOnly">              
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_AdditionalIndexDomain" xlink:label="AdditionalIndexDomain"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_Russell1000ValueIndexMember" xlink:label="Russell1000ValueIndexMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="AdditionalIndexDomain" xlink:to="Russell1000ValueIndexMember" order="1.0"/>
				</link:definitionLink>
				<link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/MaturityOnly">
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_MaturityDomain" xlink:label="MaturityDomain"/>
				</link:definitionLink>
				<link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/IndustrySectorOnly">
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_IndustrySectorDomain" xlink:label="IndustrySectorDomain"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_AssetBackedSecuritiesSectorMember" xlink:label="AssetBackedSecuritiesSectorMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="IndustrySectorDomain" xlink:to="AssetBackedSecuritiesSectorMember" order="1.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_ConsumerCyclicalMember" xlink:label="ConsumerCyclicalMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="IndustrySectorDomain" xlink:to="ConsumerCyclicalMember" order="2.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_CollateralizedLoanObligationsSectorMember" xlink:label="CollateralizedLoanObligationsSectorMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="IndustrySectorDomain" xlink:to="CollateralizedLoanObligationsSectorMember" order="3.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_ConsumerNonCyclicalMember" xlink:label="ConsumerNonCyclicalMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="IndustrySectorDomain" xlink:to="ConsumerNonCyclicalMember" order="4.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_NetOtherAssetsAndLiabilitiesSectorMember" xlink:label="NetOtherAssetsAndLiabilitiesSectorMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="IndustrySectorDomain" xlink:to="NetOtherAssetsAndLiabilitiesSectorMember" order="5.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_InvestmentCompaniesSectorMember" xlink:label="InvestmentCompaniesSectorMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="IndustrySectorDomain" xlink:to="InvestmentCompaniesSectorMember" order="6.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_MedicalMember" xlink:label="MedicalMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="IndustrySectorDomain" xlink:to="MedicalMember" order="7.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_AirportMember" xlink:label="AirportMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="IndustrySectorDomain" xlink:to="AirportMember" order="8.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_EducationMember" xlink:label="EducationMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="IndustrySectorDomain" xlink:to="EducationMember" order="9.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_HousingMember" xlink:label="HousingMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="IndustrySectorDomain" xlink:to="HousingMember" order="10.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_WaterAndSewerMember" xlink:label="WaterAndSewerMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="IndustrySectorDomain" xlink:to="WaterAndSewerMember" order="11.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_SchoolDistrictMember" xlink:label="SchoolDistrictMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="IndustrySectorDomain" xlink:to="SchoolDistrictMember" order="12.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_DevelopmentMember" xlink:label="DevelopmentMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="IndustrySectorDomain" xlink:to="DevelopmentMember" order="13.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_TobaccoSettlementMember" xlink:label="TobaccoSettlementMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="IndustrySectorDomain" xlink:to="TobaccoSettlementMember" order="14.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_PowerMember" xlink:label="PowerMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="IndustrySectorDomain" xlink:to="PowerMember" order="15.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_NursingHomesMember" xlink:label="NursingHomesMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="IndustrySectorDomain" xlink:to="NursingHomesMember" order="16.0"/>
				</link:definitionLink>
				<link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/CreditQualityOnly">
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_CreditQualityDomain" xlink:label="CreditQualityDomain"/>
				</link:definitionLink>
				<!--GeographicRegionOnly use only for STPR-->
				<link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/GeographicRegionOnly">
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_GeographicRegionDomain" xlink:label="GeographicRegionDomain"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_AL" xlink:label="AL"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="AL" order="1.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_AZ" xlink:label="AZ"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="AZ" order="2.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_CA" xlink:label="CA"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="CA" order="3.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_CO" xlink:label="CO"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="CO" order="4.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_CT" xlink:label="CT"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="CT" order="5.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_DC" xlink:label="DC"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="DC" order="6.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_FL" xlink:label="FL"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="FL" order="7.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_GA" xlink:label="GA"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="GA" order="8.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_IL" xlink:label="IL"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="IL" order="9.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_IN" xlink:label="IN"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="IN" order="10.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_KY" xlink:label="KY"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="KY" order="11.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_MD" xlink:label="MD"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="MD" order="12.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_MA" xlink:label="MA"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="MA" order="13.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_MI" xlink:label="MI"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="MI" order="14.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_MN" xlink:label="MN"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="MN" order="15.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_MO" xlink:label="MO"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="MO" order="16.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_NE" xlink:label="NE"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="NE" order="17.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_NV" xlink:label="NV"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="NV" order="18.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_NJ" xlink:label="NJ"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="NJ" order="19.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_NY" xlink:label="NY"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="NY" order="20.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_OH" xlink:label="OH"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="OH" order="21.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_OR" xlink:label="OR"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="OR" order="22.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_PA" xlink:label="PA"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="PA" order="23.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_RI" xlink:label="RI"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="RI" order="24.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_TN" xlink:label="TN"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="TN" order="25.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_TX" xlink:label="TX"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="TX" order="26.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_UT" xlink:label="UT"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="UT" order="27.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_WA" xlink:label="WA"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="WA" order="28.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_WI" xlink:label="WI"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="WI" order="29.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_VA" xlink:label="VA"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="VA" order="30.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_OK" xlink:label="OK"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="OK" order="31.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_LA" xlink:label="LA"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="LA" order="32.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_AR" xlink:label="AR"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="AR" order="33.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_IA" xlink:label="IA"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="IA" order="34.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_MS" xlink:label="MS"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="GeographicRegionDomain" xlink:to="MS" order="35.0"/>
				</link:definitionLink>
				<link:labelLink xlink:type="extended" xlink:role="http://www.xbrl.org/2003/role/link">               
					<link:loc xlink:type="locator" xlink:href="#bmetii_Russell1000IndexMember" xlink:label="Russell1000IndexMember"/>
					<link:label xlink:type="resource" xlink:label="label_Russell1000IndexMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Russell 1000 Index [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="Russell1000IndexMember" xlink:to="label_Russell1000IndexMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_NetOtherAssetsAndLiabilitiesMember" xlink:label="NetOtherAssetsAndLiabilitiesMember"/>
					<link:label xlink:type="resource" xlink:label="label_NetOtherAssetsAndLiabilitiesMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Net Other Assets and Liabilities [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="NetOtherAssetsAndLiabilitiesMember" xlink:to="label_NetOtherAssetsAndLiabilitiesMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_InvestmentCompaniesMember" xlink:label="InvestmentCompaniesMember"/>
					<link:label xlink:type="resource" xlink:label="label_InvestmentCompaniesMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Investment Companies [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="InvestmentCompaniesMember" xlink:to="label_InvestmentCompaniesMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_JohnsonAndJohnsonMember" xlink:label="JohnsonAndJohnsonMember"/>
					<link:label xlink:type="resource" xlink:label="label_JohnsonAndJohnsonMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Johnson And Johnson [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="JohnsonAndJohnsonMember" xlink:to="label_JohnsonAndJohnsonMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_CiscoSystemsIncMember" xlink:label="CiscoSystemsIncMember"/>
					<link:label xlink:type="resource" xlink:label="label_CiscoSystemsIncMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Cisco Systems Inc [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="CiscoSystemsIncMember" xlink:to="label_CiscoSystemsIncMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_SLBLtdMember" xlink:label="SLBLtdMember"/>
					<link:label xlink:type="resource" xlink:label="label_SLBLtdMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">SLB Ltd [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="SLBLtdMember" xlink:to="label_SLBLtdMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_ATAndTIncMember" xlink:label="ATAndTIncMember"/>
					<link:label xlink:type="resource" xlink:label="label_ATAndTIncMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">AT And T Inc [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="ATAndTIncMember" xlink:to="label_ATAndTIncMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_ColgatePalmoliveCoMember" xlink:label="ColgatePalmoliveCoMember"/>
					<link:label xlink:type="resource" xlink:label="label_ColgatePalmoliveCoMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Colgate Palmolive Co [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="ColgatePalmoliveCoMember" xlink:to="label_ColgatePalmoliveCoMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_FifthThirdBancorpMember" xlink:label="FifthThirdBancorpMember"/>
					<link:label xlink:type="resource" xlink:label="label_FifthThirdBancorpMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Fifth Third Bancorp [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="FifthThirdBancorpMember" xlink:to="label_FifthThirdBancorpMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_UnitedHealthGroupIncMember" xlink:label="UnitedHealthGroupIncMember"/>
					<link:label xlink:type="resource" xlink:label="label_UnitedHealthGroupIncMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">UnitedHealth Group Inc [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="UnitedHealthGroupIncMember" xlink:to="label_UnitedHealthGroupIncMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_JPMorganChaseAndCoMember" xlink:label="JPMorganChaseAndCoMember"/>
					<link:label xlink:type="resource" xlink:label="label_JPMorganChaseAndCoMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">JPMorgan Chase And Co [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="JPMorganChaseAndCoMember" xlink:to="label_JPMorganChaseAndCoMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_MicrosoftCorpMember" xlink:label="MicrosoftCorpMember"/>
					<link:label xlink:type="resource" xlink:label="label_MicrosoftCorpMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Microsoft Corp [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="MicrosoftCorpMember" xlink:to="label_MicrosoftCorpMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_CitigroupGlobalMarketsHoldingsIncMember" xlink:label="CitigroupGlobalMarketsHoldingsIncMember"/>
					<link:label xlink:type="resource" xlink:label="label_CitigroupGlobalMarketsHoldingsIncMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Citigroup Global Markets Holdings Inc [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="CitigroupGlobalMarketsHoldingsIncMember" xlink:to="label_CitigroupGlobalMarketsHoldingsIncMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_DowJonesUSSelectDividendTMIndexMember" xlink:label="DowJonesUSSelectDividendTMIndexMember"/>
					<link:label xlink:type="resource" xlink:label="label_DowJonesUSSelectDividendTMIndexMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Dow Jones U S Select DividendTM Index [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="DowJonesUSSelectDividendTMIndexMember" xlink:to="label_DowJonesUSSelectDividendTMIndexMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_Russell1000ValueIndexMember" xlink:label="Russell1000ValueIndexMember"/>
					<link:label xlink:type="resource" xlink:label="label_Russell1000ValueIndexMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Russell 1000 Value Index [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="Russell1000ValueIndexMember" xlink:to="label_Russell1000ValueIndexMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_C000256918Member" xlink:label="C000256918Member"/>
					<link:label xlink:type="resource" xlink:label="label_C000256918Member" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">C000256918 [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="C000256918Member" xlink:to="label_C000256918Member"/>
										<link:label xlink:type="resource" xlink:label="label_C000256918Member_2" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xml:lang="en-US">Composite Class</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="C000256918Member" xlink:to="label_C000256918Member_2"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RealEstateSectorMember" xlink:label="RealEstateSectorMember"/>
					<link:label xlink:type="resource" xlink:label="label_RealEstateSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Real Estate Sector [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="RealEstateSectorMember" xlink:to="label_RealEstateSectorMember"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_HealthcareSectorMember" xlink:label="HealthcareSectorMember"/>
					<link:label xlink:type="resource" xlink:label="label_HealthcareSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Healthcare Sector [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="HealthcareSectorMember" xlink:to="label_HealthcareSectorMember"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinancialServicesSectorMember" xlink:label="FinancialServicesSectorMember"/>
					<link:label xlink:type="resource" xlink:label="label_FinancialServicesSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Financial Services Sector [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="FinancialServicesSectorMember" xlink:to="label_FinancialServicesSectorMember"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EnergySectorMember" xlink:label="EnergySectorMember"/>
					<link:label xlink:type="resource" xlink:label="label_EnergySectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Energy Sector [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="EnergySectorMember" xlink:to="label_EnergySectorMember"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CollateralizedLoanObligationsMember" xlink:label="CollateralizedLoanObligationsMember"/>
					<link:label xlink:type="resource" xlink:label="label_CollateralizedLoanObligationsMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Collateralized Loan Obligations [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="CollateralizedLoanObligationsMember" xlink:to="label_CollateralizedLoanObligationsMember"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_TechnologySectorMember" xlink:label="TechnologySectorMember"/>
					<link:label xlink:type="resource" xlink:label="label_TechnologySectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Technology Sector [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="TechnologySectorMember" xlink:to="label_TechnologySectorMember"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_USTreasurySecuritiesMember" xlink:label="USTreasurySecuritiesMember"/>
					<link:label xlink:type="resource" xlink:label="label_USTreasurySecuritiesMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">US Treasury Securities [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="USTreasurySecuritiesMember" xlink:to="label_USTreasurySecuritiesMember"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetBackedSecuritiesMember" xlink:label="AssetBackedSecuritiesMember"/>
					<link:label xlink:type="resource" xlink:label="label_AssetBackedSecuritiesMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Asset-Backed Securities [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="AssetBackedSecuritiesMember" xlink:to="label_AssetBackedSecuritiesMember"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommercialMortgageBackedSecuritiesMember" xlink:label="CommercialMortgageBackedSecuritiesMember"/>
					<link:label xlink:type="resource" xlink:label="label_CommercialMortgageBackedSecuritiesMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Commercial Mortgage-Backed Securities [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="CommercialMortgageBackedSecuritiesMember" xlink:to="label_CommercialMortgageBackedSecuritiesMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_C000264329Member" xlink:label="C000264329Member"/>
					<link:label xlink:type="resource" xlink:label="label_C000264329Member" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">C000264329 [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="C000264329Member" xlink:to="label_C000264329Member"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_MortgageSecuritiesMember" xlink:label="MortgageSecuritiesMember"/>
					<link:label xlink:type="resource" xlink:label="label_MortgageSecuritiesMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Mortgage Securities [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="MortgageSecuritiesMember" xlink:to="label_MortgageSecuritiesMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_AssetBackedSecuritiesSectorMember" xlink:label="AssetBackedSecuritiesSectorMember"/>
					<link:label xlink:type="resource" xlink:label="label_AssetBackedSecuritiesSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Asset Backed Securities Sector [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="AssetBackedSecuritiesSectorMember" xlink:to="label_AssetBackedSecuritiesSectorMember"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_GovernmentMember" xlink:label="GovernmentMember"/>
					<link:label xlink:type="resource" xlink:label="label_GovernmentMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Government [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="GovernmentMember" xlink:to="label_GovernmentMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_ConsumerCyclicalMember" xlink:label="ConsumerCyclicalMember"/>
					<link:label xlink:type="resource" xlink:label="label_ConsumerCyclicalMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Consumer Cyclical [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="ConsumerCyclicalMember" xlink:to="label_ConsumerCyclicalMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_CollateralizedLoanObligationsSectorMember" xlink:label="CollateralizedLoanObligationsSectorMember"/>
					<link:label xlink:type="resource" xlink:label="label_CollateralizedLoanObligationsSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Collateralized Loan Obligations Sector [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="CollateralizedLoanObligationsSectorMember" xlink:to="label_CollateralizedLoanObligationsSectorMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_ConsumerNonCyclicalMember" xlink:label="ConsumerNonCyclicalMember"/>
					<link:label xlink:type="resource" xlink:label="label_ConsumerNonCyclicalMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Consumer Non cyclical [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="ConsumerNonCyclicalMember" xlink:to="label_ConsumerNonCyclicalMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_NetOtherAssetsAndLiabilitiesSectorMember" xlink:label="NetOtherAssetsAndLiabilitiesSectorMember"/>
					<link:label xlink:type="resource" xlink:label="label_NetOtherAssetsAndLiabilitiesSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Net Other Assets and Liabilities Sector [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="NetOtherAssetsAndLiabilitiesSectorMember" xlink:to="label_NetOtherAssetsAndLiabilitiesSectorMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_CorporateBondsAndNotesMember" xlink:label="CorporateBondsAndNotesMember"/>
					<link:label xlink:type="resource" xlink:label="label_CorporateBondsAndNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Corporate Bonds and Notes [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="CorporateBondsAndNotesMember" xlink:to="label_CorporateBondsAndNotesMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_USGovernmentAgenciesMortgageBackedLongMember" xlink:label="USGovernmentAgenciesMortgageBackedLongMember"/>
					<link:label xlink:type="resource" xlink:label="label_USGovernmentAgenciesMortgageBackedLongMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">U S Government Agencies Mortgage Backed Long [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="USGovernmentAgenciesMortgageBackedLongMember" xlink:to="label_USGovernmentAgenciesMortgageBackedLongMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_ForeignGovernmentalMember" xlink:label="ForeignGovernmentalMember"/>
					<link:label xlink:type="resource" xlink:label="label_ForeignGovernmentalMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Foreign Governmental [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="ForeignGovernmentalMember" xlink:to="label_ForeignGovernmentalMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_InvestmentCompaniesSectorMember" xlink:label="InvestmentCompaniesSectorMember"/>
					<link:label xlink:type="resource" xlink:label="label_InvestmentCompaniesSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Investment Companies Sector [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="InvestmentCompaniesSectorMember" xlink:to="label_InvestmentCompaniesSectorMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_USGovernmentAgenciesCommercialMortgageBackedMember" xlink:label="USGovernmentAgenciesCommercialMortgageBackedMember"/>
					<link:label xlink:type="resource" xlink:label="label_USGovernmentAgenciesCommercialMortgageBackedMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">U S Government Agencies Commercial Mortgage Backed [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="USGovernmentAgenciesCommercialMortgageBackedMember" xlink:to="label_USGovernmentAgenciesCommercialMortgageBackedMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_USGovernmentAgenciesMortgageBackedShortMember" xlink:label="USGovernmentAgenciesMortgageBackedShortMember"/>
					<link:label xlink:type="resource" xlink:label="label_USGovernmentAgenciesMortgageBackedShortMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">U S Government Agencies Mortgage Backed Short [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="USGovernmentAgenciesMortgageBackedShortMember" xlink:to="label_USGovernmentAgenciesMortgageBackedShortMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_BloombergUSAggregateBondIndexMember" xlink:label="BloombergUSAggregateBondIndexMember"/>
					<link:label xlink:type="resource" xlink:label="label_BloombergUSAggregateBondIndexMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Bloomberg U S Aggregate Bond Index [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="BloombergUSAggregateBondIndexMember" xlink:to="label_BloombergUSAggregateBondIndexMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_BloombergUSGovernmentCreditBondIndexMember" xlink:label="BloombergUSGovernmentCreditBondIndexMember"/>
					<link:label xlink:type="resource" xlink:label="label_BloombergUSGovernmentCreditBondIndexMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Bloomberg U S Government Credit Bond Index [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="BloombergUSGovernmentCreditBondIndexMember" xlink:to="label_BloombergUSGovernmentCreditBondIndexMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_BloombergUSIntermediateGovernmentCreditIndexMember" xlink:label="BloombergUSIntermediateGovernmentCreditIndexMember"/>
					<link:label xlink:type="resource" xlink:label="label_BloombergUSIntermediateGovernmentCreditIndexMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Bloomberg U S Intermediate Government Credit Index [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="BloombergUSIntermediateGovernmentCreditIndexMember" xlink:to="label_BloombergUSIntermediateGovernmentCreditIndexMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_MunicipalSecuritiesMember" xlink:label="MunicipalSecuritiesMember"/>
					<link:label xlink:type="resource" xlink:label="label_MunicipalSecuritiesMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Municipal Securities [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="MunicipalSecuritiesMember" xlink:to="label_MunicipalSecuritiesMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_BloombergUSIntermediateCreditIndexMember" xlink:label="BloombergUSIntermediateCreditIndexMember"/>
					<link:label xlink:type="resource" xlink:label="label_BloombergUSIntermediateCreditIndexMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Bloomberg U S Intermediate Credit Index [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="BloombergUSIntermediateCreditIndexMember" xlink:to="label_BloombergUSIntermediateCreditIndexMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_C000264330Member" xlink:label="C000264330Member"/>
					<link:label xlink:type="resource" xlink:label="label_C000264330Member" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">C000264330 [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="C000264330Member" xlink:to="label_C000264330Member"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_MortgageBackedSecuritiesIssuedByUSGovernmentSponsoredEnterprisesMember" xlink:label="MortgageBackedSecuritiesIssuedByUSGovernmentSponsoredEnterprisesMember"/>
					<link:label xlink:type="resource" xlink:label="label_MortgageBackedSecuritiesIssuedByUSGovernmentSponsoredEnterprisesMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Mortgage-Backed Security, Issued by US Government-Sponsored Enterprise [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="MortgageBackedSecuritiesIssuedByUSGovernmentSponsoredEnterprisesMember" xlink:to="label_MortgageBackedSecuritiesIssuedByUSGovernmentSponsoredEnterprisesMember"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_GovernmentSectorMember" xlink:label="GovernmentSectorMember"/>
					<link:label xlink:type="resource" xlink:label="label_GovernmentSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Government Sector [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="GovernmentSectorMember" xlink:to="label_GovernmentSectorMember"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FutureMember" xlink:label="FutureMember"/>
					<link:label xlink:type="resource" xlink:label="label_FutureMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Future [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="FutureMember" xlink:to="label_FutureMember"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_TransportationSectorMember" xlink:label="TransportationSectorMember"/>
					<link:label xlink:type="resource" xlink:label="label_TransportationSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Transportation Sector [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="TransportationSectorMember" xlink:to="label_TransportationSectorMember"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_AL" xlink:label="AL"/>
					<link:label xlink:type="resource" xlink:label="label_AL" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">ALABAMA</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="AL" xlink:to="label_AL"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_AZ" xlink:label="AZ"/>
					<link:label xlink:type="resource" xlink:label="label_AZ" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">ARIZONA</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="AZ" xlink:to="label_AZ"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_CA" xlink:label="CA"/>
					<link:label xlink:type="resource" xlink:label="label_CA" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">CALIFORNIA</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="CA" xlink:to="label_CA"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_CO" xlink:label="CO"/>
					<link:label xlink:type="resource" xlink:label="label_CO" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">COLORADO</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="CO" xlink:to="label_CO"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_CT" xlink:label="CT"/>
					<link:label xlink:type="resource" xlink:label="label_CT" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">CONNECTICUT</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="CT" xlink:to="label_CT"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_DC" xlink:label="DC"/>
					<link:label xlink:type="resource" xlink:label="label_DC" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">DISTRICT OF COLUMBIA</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="DC" xlink:to="label_DC"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_FL" xlink:label="FL"/>
					<link:label xlink:type="resource" xlink:label="label_FL" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">FLORIDA</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="FL" xlink:to="label_FL"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_GA" xlink:label="GA"/>
					<link:label xlink:type="resource" xlink:label="label_GA" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">GEORGIA</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="GA" xlink:to="label_GA"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_IL" xlink:label="IL"/>
					<link:label xlink:type="resource" xlink:label="label_IL" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">ILLINOIS</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="IL" xlink:to="label_IL"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_IN" xlink:label="IN"/>
					<link:label xlink:type="resource" xlink:label="label_IN" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">INDIANA</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="IN" xlink:to="label_IN"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_KY" xlink:label="KY"/>
					<link:label xlink:type="resource" xlink:label="label_KY" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">KENTUCKY</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="KY" xlink:to="label_KY"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_MD" xlink:label="MD"/>
					<link:label xlink:type="resource" xlink:label="label_MD" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">MARYLAND</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="MD" xlink:to="label_MD"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_MA" xlink:label="MA"/>
					<link:label xlink:type="resource" xlink:label="label_MA" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">MASSACHUSETTS</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="MA" xlink:to="label_MA"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_MI" xlink:label="MI"/>
					<link:label xlink:type="resource" xlink:label="label_MI" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">MICHIGAN</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="MI" xlink:to="label_MI"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_MN" xlink:label="MN"/>
					<link:label xlink:type="resource" xlink:label="label_MN" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">MINNESOTA</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="MN" xlink:to="label_MN"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_MO" xlink:label="MO"/>
					<link:label xlink:type="resource" xlink:label="label_MO" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">MISSOURI</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="MO" xlink:to="label_MO"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_NE" xlink:label="NE"/>
					<link:label xlink:type="resource" xlink:label="label_NE" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">NEBRASKA</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="NE" xlink:to="label_NE"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_NV" xlink:label="NV"/>
					<link:label xlink:type="resource" xlink:label="label_NV" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">NEVADA</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="NV" xlink:to="label_NV"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_NJ" xlink:label="NJ"/>
					<link:label xlink:type="resource" xlink:label="label_NJ" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">NEW JERSEY</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="NJ" xlink:to="label_NJ"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_NY" xlink:label="NY"/>
					<link:label xlink:type="resource" xlink:label="label_NY" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">NEW YORK</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="NY" xlink:to="label_NY"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_OH" xlink:label="OH"/>
					<link:label xlink:type="resource" xlink:label="label_OH" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">OHIO</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="OH" xlink:to="label_OH"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_OR" xlink:label="OR"/>
					<link:label xlink:type="resource" xlink:label="label_OR" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">OREGON</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="OR" xlink:to="label_OR"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_PA" xlink:label="PA"/>
					<link:label xlink:type="resource" xlink:label="label_PA" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">PENNSYLVANIA</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="PA" xlink:to="label_PA"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_RI" xlink:label="RI"/>
					<link:label xlink:type="resource" xlink:label="label_RI" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">RHODE ISLAND</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="RI" xlink:to="label_RI"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_TN" xlink:label="TN"/>
					<link:label xlink:type="resource" xlink:label="label_TN" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">TENNESSEE</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="TN" xlink:to="label_TN"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_TX" xlink:label="TX"/>
					<link:label xlink:type="resource" xlink:label="label_TX" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">TEXAS</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="TX" xlink:to="label_TX"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_UT" xlink:label="UT"/>
					<link:label xlink:type="resource" xlink:label="label_UT" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">UTAH</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="UT" xlink:to="label_UT"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_WA" xlink:label="WA"/>
					<link:label xlink:type="resource" xlink:label="label_WA" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">WASHINGTON</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="WA" xlink:to="label_WA"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_WI" xlink:label="WI"/>
					<link:label xlink:type="resource" xlink:label="label_WI" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">WISCONSIN</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="WI" xlink:to="label_WI"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_C000264331Member" xlink:label="C000264331Member"/>
					<link:label xlink:type="resource" xlink:label="label_C000264331Member" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">C000264331 [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="C000264331Member" xlink:to="label_C000264331Member"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_BloombergUSMunicipalBondIndexMember" xlink:label="BloombergUSMunicipalBondIndexMember"/>
					<link:label xlink:type="resource" xlink:label="label_BloombergUSMunicipalBondIndexMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Bloomberg U S Municipal Bond Index [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="BloombergUSMunicipalBondIndexMember" xlink:to="label_BloombergUSMunicipalBondIndexMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_SAndPMunicipalBondIndexMember" xlink:label="SAndPMunicipalBondIndexMember"/>
					<link:label xlink:type="resource" xlink:label="label_SAndPMunicipalBondIndexMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">S And P Municipal Bond Index [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="SAndPMunicipalBondIndexMember" xlink:to="label_SAndPMunicipalBondIndexMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_MedicalMember" xlink:label="MedicalMember"/>
					<link:label xlink:type="resource" xlink:label="label_MedicalMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Medical [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="MedicalMember" xlink:to="label_MedicalMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_GeneralObligationMember" xlink:label="GeneralObligationMember"/>
					<link:label xlink:type="resource" xlink:label="label_GeneralObligationMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">General Obligation [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="GeneralObligationMember" xlink:to="label_GeneralObligationMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_AirportMember" xlink:label="AirportMember"/>
					<link:label xlink:type="resource" xlink:label="label_AirportMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Airport [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="AirportMember" xlink:to="label_AirportMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_EducationMember" xlink:label="EducationMember"/>
					<link:label xlink:type="resource" xlink:label="label_EducationMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Education [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="EducationMember" xlink:to="label_EducationMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_HousingMember" xlink:label="HousingMember"/>
					<link:label xlink:type="resource" xlink:label="label_HousingMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Housing [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="HousingMember" xlink:to="label_HousingMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_WaterAndSewerMember" xlink:label="WaterAndSewerMember"/>
					<link:label xlink:type="resource" xlink:label="label_WaterAndSewerMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Water And Sewer [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="WaterAndSewerMember" xlink:to="label_WaterAndSewerMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_SchoolDistrictMember" xlink:label="SchoolDistrictMember"/>
					<link:label xlink:type="resource" xlink:label="label_SchoolDistrictMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">School District [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="SchoolDistrictMember" xlink:to="label_SchoolDistrictMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_DevelopmentMember" xlink:label="DevelopmentMember"/>
					<link:label xlink:type="resource" xlink:label="label_DevelopmentMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Development [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="DevelopmentMember" xlink:to="label_DevelopmentMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_TobaccoSettlementMember" xlink:label="TobaccoSettlementMember"/>
					<link:label xlink:type="resource" xlink:label="label_TobaccoSettlementMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Tobacco Settlement [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="TobaccoSettlementMember" xlink:to="label_TobaccoSettlementMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_PowerMember" xlink:label="PowerMember"/>
					<link:label xlink:type="resource" xlink:label="label_PowerMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Power [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="PowerMember" xlink:to="label_PowerMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_NetOtherAssetsAndLiabilitiesCountryMember" xlink:label="NetOtherAssetsAndLiabilitiesCountryMember"/>
					<link:label xlink:type="resource" xlink:label="label_NetOtherAssetsAndLiabilitiesCountryMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Net Other Assets and Liabilities Country [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="NetOtherAssetsAndLiabilitiesCountryMember" xlink:to="label_NetOtherAssetsAndLiabilitiesCountryMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_BloombergUSMunicipalBondC000264331IndexMember" xlink:label="BloombergUSMunicipalBondC000264331IndexMember"/>
					<link:label xlink:type="resource" xlink:label="label_BloombergUSMunicipalBondC000264331IndexMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Bloomberg U S Municipal Bond C000264331 Index [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="BloombergUSMunicipalBondC000264331IndexMember" xlink:to="label_BloombergUSMunicipalBondC000264331IndexMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_BloombergMunicipal315YearsBlendIndexMember" xlink:label="BloombergMunicipal315YearsBlendIndexMember"/>
					<link:label xlink:type="resource" xlink:label="label_BloombergMunicipal315YearsBlendIndexMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Bloomberg Municipal 3 15 Years Blend Index [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="BloombergMunicipal315YearsBlendIndexMember" xlink:to="label_BloombergMunicipal315YearsBlendIndexMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_SAndPMunicipalBondInvestmentGradeIntermediateIndexMember" xlink:label="SAndPMunicipalBondInvestmentGradeIntermediateIndexMember"/>
					<link:label xlink:type="resource" xlink:label="label_SAndPMunicipalBondInvestmentGradeIntermediateIndexMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">S And P Municipal Bond Investment Grade Intermediate Index [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="SAndPMunicipalBondInvestmentGradeIntermediateIndexMember" xlink:to="label_SAndPMunicipalBondInvestmentGradeIntermediateIndexMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_USRelatedMember" xlink:label="USRelatedMember"/>
					<link:label xlink:type="resource" xlink:label="label_USRelatedMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">U S Related [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="USRelatedMember" xlink:to="label_USRelatedMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_NursingHomesMember" xlink:label="NursingHomesMember"/>
					<link:label xlink:type="resource" xlink:label="label_NursingHomesMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Nursing Homes [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="NursingHomesMember" xlink:to="label_NursingHomesMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_C000264332Member" xlink:label="C000264332Member"/>
					<link:label xlink:type="resource" xlink:label="label_C000264332Member" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">C000264332 [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="C000264332Member" xlink:to="label_C000264332Member"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_VA" xlink:label="VA"/>
					<link:label xlink:type="resource" xlink:label="label_VA" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">VIRGINIA</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="VA" xlink:to="label_VA"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_OK" xlink:label="OK"/>
					<link:label xlink:type="resource" xlink:label="label_OK" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">OKLAHOMA</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="OK" xlink:to="label_OK"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_LA" xlink:label="LA"/>
					<link:label xlink:type="resource" xlink:label="label_LA" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">LOUISIANA</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="LA" xlink:to="label_LA"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_AR" xlink:label="AR"/>
					<link:label xlink:type="resource" xlink:label="label_AR" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">ARKANSAS</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="AR" xlink:to="label_AR"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_IA" xlink:label="IA"/>
					<link:label xlink:type="resource" xlink:label="label_IA" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">IOWA</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="IA" xlink:to="label_IA"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd#stpr_MS" xlink:label="MS"/>
					<link:label xlink:type="resource" xlink:label="label_MS" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">MISSISSIPPI</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="MS" xlink:to="label_MS"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_C000264333Member" xlink:label="C000264333Member"/>
					<link:label xlink:type="resource" xlink:label="label_C000264333Member" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">C000264333 [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="C000264333Member" xlink:to="label_C000264333Member"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_SAndPMunicipalBondC000264333IndexMember" xlink:label="SAndPMunicipalBondC000264333IndexMember"/>
					<link:label xlink:type="resource" xlink:label="label_SAndPMunicipalBondC000264333IndexMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">S And P Municipal Bond C000264333 Index [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="SAndPMunicipalBondC000264333IndexMember" xlink:to="label_SAndPMunicipalBondC000264333IndexMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_BloombergMunicipal13YearsIndexMember" xlink:label="BloombergMunicipal13YearsIndexMember"/>
					<link:label xlink:type="resource" xlink:label="label_BloombergMunicipal13YearsIndexMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Bloomberg Municipal 1 3 Years Index [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="BloombergMunicipal13YearsIndexMember" xlink:to="label_BloombergMunicipal13YearsIndexMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmetii_SAndPMunicipalBondInvestmentGradeShortIndexMember" xlink:label="SAndPMunicipalBondInvestmentGradeShortIndexMember"/>
					<link:label xlink:type="resource" xlink:label="label_SAndPMunicipalBondInvestmentGradeShortIndexMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">S And P Municipal Bond Investment Grade Short Index [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="SAndPMunicipalBondInvestmentGradeShortIndexMember" xlink:to="label_SAndPMunicipalBondInvestmentGradeShortIndexMember"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentTypeAxis" xlink:label="InvestmentTypeAxis"/>
					<link:label xlink:type="resource" xlink:label="label_InvestmentTypeAxis" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Investment Type [Axis]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="InvestmentTypeAxis" xlink:to="label_InvestmentTypeAxis" priority="1"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetsNet" xlink:label="AssetsNet"/>
					<link:label xlink:type="resource" xlink:label="label_AssetsNet" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Net Assets</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="AssetsNet" xlink:to="label_AssetsNet" priority="1"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyPortfolioTurnover" xlink:label="InvestmentCompanyPortfolioTurnover"/>
					<link:label xlink:type="resource" xlink:label="label_InvestmentCompanyPortfolioTurnover" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Investment Company Portfolio Turnover</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="InvestmentCompanyPortfolioTurnover" xlink:to="label_InvestmentCompanyPortfolioTurnover" priority="1"/>                
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_NoTradingSymbolFlag" xlink:label="dei_NoTradingSymbolFlag"/>
					<link:label xlink:type="resource" xlink:label="label_NoTradingSymbolFlag" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">No Trading Symbol Flag</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_NoTradingSymbolFlag" xlink:to="label_NoTradingSymbolFlag" priority="1"/>		
				</link:labelLink>
			</link:linkbase>
		</appinfo>
	</annotation>   
	<element name="Russell1000IndexMember" id="bmetii_Russell1000IndexMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="NetOtherAssetsAndLiabilitiesMember" id="bmetii_NetOtherAssetsAndLiabilitiesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="InvestmentCompaniesMember" id="bmetii_InvestmentCompaniesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="JohnsonAndJohnsonMember" id="bmetii_JohnsonAndJohnsonMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="CiscoSystemsIncMember" id="bmetii_CiscoSystemsIncMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="SLBLtdMember" id="bmetii_SLBLtdMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="ATAndTIncMember" id="bmetii_ATAndTIncMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="ColgatePalmoliveCoMember" id="bmetii_ColgatePalmoliveCoMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="FifthThirdBancorpMember" id="bmetii_FifthThirdBancorpMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="UnitedHealthGroupIncMember" id="bmetii_UnitedHealthGroupIncMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="JPMorganChaseAndCoMember" id="bmetii_JPMorganChaseAndCoMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="MicrosoftCorpMember" id="bmetii_MicrosoftCorpMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="CitigroupGlobalMarketsHoldingsIncMember" id="bmetii_CitigroupGlobalMarketsHoldingsIncMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="DowJonesUSSelectDividendTMIndexMember" id="bmetii_DowJonesUSSelectDividendTMIndexMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="Russell1000ValueIndexMember" id="bmetii_Russell1000ValueIndexMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="C000256918Member" id="bmetii_C000256918Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="C000264329Member" id="bmetii_C000264329Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="MortgageSecuritiesMember" id="bmetii_MortgageSecuritiesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="AssetBackedSecuritiesSectorMember" id="bmetii_AssetBackedSecuritiesSectorMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="ConsumerCyclicalMember" id="bmetii_ConsumerCyclicalMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="CollateralizedLoanObligationsSectorMember" id="bmetii_CollateralizedLoanObligationsSectorMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="ConsumerNonCyclicalMember" id="bmetii_ConsumerNonCyclicalMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="NetOtherAssetsAndLiabilitiesSectorMember" id="bmetii_NetOtherAssetsAndLiabilitiesSectorMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="CorporateBondsAndNotesMember" id="bmetii_CorporateBondsAndNotesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="USGovernmentAgenciesMortgageBackedLongMember" id="bmetii_USGovernmentAgenciesMortgageBackedLongMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="ForeignGovernmentalMember" id="bmetii_ForeignGovernmentalMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="InvestmentCompaniesSectorMember" id="bmetii_InvestmentCompaniesSectorMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="USGovernmentAgenciesCommercialMortgageBackedMember" id="bmetii_USGovernmentAgenciesCommercialMortgageBackedMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="USGovernmentAgenciesMortgageBackedShortMember" id="bmetii_USGovernmentAgenciesMortgageBackedShortMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="BloombergUSAggregateBondIndexMember" id="bmetii_BloombergUSAggregateBondIndexMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="BloombergUSGovernmentCreditBondIndexMember" id="bmetii_BloombergUSGovernmentCreditBondIndexMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="BloombergUSIntermediateGovernmentCreditIndexMember" id="bmetii_BloombergUSIntermediateGovernmentCreditIndexMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="MunicipalSecuritiesMember" id="bmetii_MunicipalSecuritiesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="BloombergUSIntermediateCreditIndexMember" id="bmetii_BloombergUSIntermediateCreditIndexMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="C000264330Member" id="bmetii_C000264330Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="C000264331Member" id="bmetii_C000264331Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="BloombergUSMunicipalBondIndexMember" id="bmetii_BloombergUSMunicipalBondIndexMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="SAndPMunicipalBondIndexMember" id="bmetii_SAndPMunicipalBondIndexMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="MedicalMember" id="bmetii_MedicalMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="GeneralObligationMember" id="bmetii_GeneralObligationMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="AirportMember" id="bmetii_AirportMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="EducationMember" id="bmetii_EducationMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="HousingMember" id="bmetii_HousingMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="WaterAndSewerMember" id="bmetii_WaterAndSewerMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="SchoolDistrictMember" id="bmetii_SchoolDistrictMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="DevelopmentMember" id="bmetii_DevelopmentMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="TobaccoSettlementMember" id="bmetii_TobaccoSettlementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="PowerMember" id="bmetii_PowerMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="NetOtherAssetsAndLiabilitiesCountryMember" id="bmetii_NetOtherAssetsAndLiabilitiesCountryMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="BloombergUSMunicipalBondC000264331IndexMember" id="bmetii_BloombergUSMunicipalBondC000264331IndexMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="BloombergMunicipal315YearsBlendIndexMember" id="bmetii_BloombergMunicipal315YearsBlendIndexMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="SAndPMunicipalBondInvestmentGradeIntermediateIndexMember" id="bmetii_SAndPMunicipalBondInvestmentGradeIntermediateIndexMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="USRelatedMember" id="bmetii_USRelatedMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="NursingHomesMember" id="bmetii_NursingHomesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="C000264332Member" id="bmetii_C000264332Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="C000264333Member" id="bmetii_C000264333Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="SAndPMunicipalBondC000264333IndexMember" id="bmetii_SAndPMunicipalBondC000264333IndexMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="BloombergMunicipal13YearsIndexMember" id="bmetii_BloombergMunicipal13YearsIndexMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="SAndPMunicipalBondInvestmentGradeShortIndexMember" id="bmetii_SAndPMunicipalBondInvestmentGradeShortIndexMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
</schema>
