<?xml version="1.0" encoding="US-ASCII"?>
<!-- Generated by Broadridge Transform (tm) - http://www.broadridge.com -->
<!-- Created: Fri Aug 21 20:06:44 UTC 2026 -->
<xs:schema elementFormDefault="qualified" targetNamespace="http://blackrock.com/20260821" xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:bpcf="http://blackrock.com/20260821" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:us-types="http://fasb.org/us-types/2026" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xbrldt="http://xbrl.org/2005/xbrldt" xmlns:dtr="http://www.xbrl.org/dtr/type/2024-01-31" xmlns:xbrli="http://www.xbrl.org/2003/instance">
  <xs:import namespace="http://www.xbrl.org/2003/instance" schemaLocation="http://www.xbrl.org/2003/xbrl-instance-2003-12-31.xsd"/>
  <xs:import namespace="http://www.xbrl.org/2003/linkbase" schemaLocation="http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd"/>
  <xs:import namespace="http://www.xbrl.org/2009/role/negated" schemaLocation="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd"/>
  <xs:import namespace="http://xbrl.sec.gov/cef/2026" schemaLocation="https://xbrl.sec.gov/cef/2026/cef-2026.xsd"/>
  <xs:import namespace="http://xbrl.sec.gov/cef-pre/2026" schemaLocation="https://xbrl.sec.gov/cef/2026/cef-2026_pre.xsd"/>
<!-- [WMV7][61i19ssENJ6YX3Rctn76PRJYPh8LMTvMWxgAOVKfTn7ja0WqMBQGoZT/1pcsuEGB9HU3AuoBk4D6waw1k4LWA5L9d8Go/kRqcoPJHjAddQL6b2AQ9LuryeCGIyYCu9GIvadmk0Y78qhJ65QFlTuCROnyZ8EAt0SLtMq2Xy5bLGeKH0UkshizwVrQL901nUHTgC8P6g7zCmiyzIAOb3musxHydAgxV3kSGFnIipu0sWEAJ+vX1Jhm4ftFkXhuBADnRQiU/mRwmVJ8m8o7TJuiCHDKHw78aRhB5ArSY11EIEjLDqVEZnchnqRMySvsQbE53WjfNdqKWHMSOC6Qo251rmEgXrWrKdsJIWhGh8QZ0izxhWutlqzrIJJQMCagIT3z87WEA0CERaSAwnl/mtUbvUcQl2oNAe7g+AmuElG4U3r1N5hkNGls6w==] CSR-->
  <xs:import namespace="http://www.xbrl.org/dtr/type/2024-01-31" schemaLocation="https://www.xbrl.org/dtr/type/2024-01-31/types.xsd"/>
</xs:schema>