bpo-35299: Fixed sysconfig and distutils during PGO profiling (GH-11744)

(cherry picked from commit 85e102a2b090dd693d0801ae2edb9660cfa0f281)

Co-authored-by: Steve Dower <steve.dower@microsoft.com>
diff --git a/Lib/distutils/command/build_ext.py b/Lib/distutils/command/build_ext.py
index 158465d..0428466 100644
--- a/Lib/distutils/command/build_ext.py
+++ b/Lib/distutils/command/build_ext.py
@@ -161,9 +161,10 @@
 
         # Put the Python "system" include dir at the end, so that
         # any local include dirs take precedence.
-        self.include_dirs.append(py_include)
+        self.include_dirs.extend(py_include.split(os.path.pathsep))
         if plat_py_include != py_include:
-            self.include_dirs.append(plat_py_include)
+            self.include_dirs.extend(
+                plat_py_include.split(os.path.pathsep))
 
         self.ensure_string_list('libraries')
         self.ensure_string_list('link_objects')
diff --git a/Lib/distutils/sysconfig.py b/Lib/distutils/sysconfig.py
index e07a6c8..83160f8 100644
--- a/Lib/distutils/sysconfig.py
+++ b/Lib/distutils/sysconfig.py
@@ -29,9 +29,7 @@
     project_base = os.path.abspath(os.environ["_PYTHON_PROJECT_BASE"])
 else:
     project_base = os.path.dirname(os.path.abspath(sys.executable))
-if (os.name == 'nt' and
-    project_base.lower().endswith(('\\pcbuild\\win32', '\\pcbuild\\amd64'))):
-    project_base = os.path.dirname(os.path.dirname(project_base))
+
 
 # python_build: (Boolean) if true, we're either building Python or
 # building an extension with an un-installed Python, so we use
@@ -43,16 +41,26 @@
         if os.path.isfile(os.path.join(d, "Modules", fn)):
             return True
     return False
+
 _sys_home = getattr(sys, '_home', None)
-if (_sys_home and os.name == 'nt' and
-    _sys_home.lower().endswith(('\\pcbuild\\win32', '\\pcbuild\\amd64'))):
-    _sys_home = os.path.dirname(os.path.dirname(_sys_home))
+
+if os.name == 'nt':
+    def _fix_pcbuild(d):
+        if d and os.path.normcase(d).startswith(
+                os.path.normcase(os.path.join(PREFIX, "PCbuild"))):
+            return PREFIX
+        return d
+    project_base = _fix_pcbuild(project_base)
+    _sys_home = _fix_pcbuild(_sys_home)
+
 def _python_build():
     if _sys_home:
         return _is_python_source_dir(_sys_home)
     return _is_python_source_dir(project_base)
+
 python_build = _python_build()
 
+
 # Calculate the build qualifier flags if they are defined.  Adding the flags
 # to the include and lib directories only makes sense for an installation, not
 # an in-source build.
@@ -101,6 +109,11 @@
         python_dir = 'python' + get_python_version() + build_flags
         return os.path.join(prefix, "include", python_dir)
     elif os.name == "nt":
+        if python_build:
+            # Include both the include and PC dir to ensure we can find
+            # pyconfig.h
+            return (os.path.join(prefix, "include") + os.path.pathsep +
+                    os.path.join(prefix, "PC"))
         return os.path.join(prefix, "include")
     else:
         raise DistutilsPlatformError(
diff --git a/Lib/distutils/tests/test_build_ext.py b/Lib/distutils/tests/test_build_ext.py
index a722182..88847f9 100644
--- a/Lib/distutils/tests/test_build_ext.py
+++ b/Lib/distutils/tests/test_build_ext.py
@@ -177,10 +177,12 @@
         cmd.finalize_options()
 
         py_include = sysconfig.get_python_inc()
-        self.assertIn(py_include, cmd.include_dirs)
+        for p in py_include.split(os.path.pathsep):
+            self.assertIn(p, cmd.include_dirs)
 
         plat_py_include = sysconfig.get_python_inc(plat_specific=1)
-        self.assertIn(plat_py_include, cmd.include_dirs)
+        for p in plat_py_include.split(os.path.pathsep):
+            self.assertIn(p, cmd.include_dirs)
 
         # make sure cmd.libraries is turned into a list
         # if it's a string
diff --git a/Lib/sysconfig.py b/Lib/sysconfig.py
index 9ee4d31..d15cec8 100644
--- a/Lib/sysconfig.py
+++ b/Lib/sysconfig.py
@@ -125,9 +125,16 @@
     return False
 
 _sys_home = getattr(sys, '_home', None)
-if (_sys_home and os.name == 'nt' and
-    _sys_home.lower().endswith(('\\pcbuild\\win32', '\\pcbuild\\amd64'))):
-    _sys_home = os.path.dirname(os.path.dirname(_sys_home))
+
+if os.name == 'nt':
+    def _fix_pcbuild(d):
+        if d and os.path.normcase(d).startswith(
+                os.path.normcase(os.path.join(_PREFIX, "PCbuild"))):
+            return _PREFIX
+        return d
+    _PROJECT_BASE = _fix_pcbuild(_PROJECT_BASE)
+    _sys_home = _fix_pcbuild(_sys_home)
+
 def is_python_build(check_home=False):
     if check_home and _sys_home:
         return _is_python_source_dir(_sys_home)