diff -rupN --no-dereference Python-3.10.9/Lib/distutils/ccompiler.py Python-3.10.9-new/Lib/distutils/ccompiler.py
--- Python-3.10.9/Lib/distutils/ccompiler.py	2022-12-06 19:31:21.000000000 +0100
+++ Python-3.10.9-new/Lib/distutils/ccompiler.py	2022-12-08 09:36:58.500024842 +0100
@@ -9,7 +9,7 @@ from distutils.spawn import spawn
 from distutils.file_util import move_file
 from distutils.dir_util import mkpath
 from distutils.dep_util import newer_group
-from distutils.util import split_quoted, execute
+from distutils.util import split_quoted, execute, get_platform
 from distutils import log
 
 class CCompiler:
@@ -948,6 +948,8 @@ def get_default_compiler(osname=None, pl
         osname = os.name
     if platform is None:
         platform = sys.platform
+    if get_platform().startswith('mingw'):
+        return 'mingw32'
     for pattern, compiler in _default_compilers:
         if re.match(pattern, platform) is not None or \
            re.match(pattern, osname) is not None:
diff -rupN --no-dereference Python-3.10.9/Lib/distutils/command/build_ext.py Python-3.10.9-new/Lib/distutils/command/build_ext.py
--- Python-3.10.9/Lib/distutils/command/build_ext.py	2022-12-08 09:36:57.941024830 +0100
+++ Python-3.10.9-new/Lib/distutils/command/build_ext.py	2022-12-08 09:36:58.501024842 +0100
@@ -186,7 +186,7 @@ class build_ext(Command):
         # for extensions under windows use different directories
         # for Release and Debug builds.
         # also Python's library directory must be appended to library_dirs
-        if os.name == 'nt':
+        if os.name == 'nt' and not self.plat_name.startswith(('mingw')):
             # the 'libs' directory is for binary installs - we assume that
             # must be the *native* platform.  But we don't really support
             # cross-compiling via a binary install anyway, so we let it go.
@@ -713,6 +713,20 @@ class build_ext(Command):
         # pyconfig.h that MSVC groks.  The other Windows compilers all seem
         # to need it mentioned explicitly, though, so that's what we do.
         # Append '_d' to the python import library on debug builds.
+
+        # Use self.plat_name as it works even in case of
+        # cross-compilation (at least for mingw build).
+        if self.plat_name.startswith('mingw'):
+            from distutils import sysconfig
+            extra = []
+            for lib in (
+                sysconfig.get_config_var('BLDLIBRARY').split()
+                + sysconfig.get_config_var('SHLIBS').split()
+                ):
+                if lib.startswith('-l'):
+                    extra.append(lib[2:])
+            return ext.libraries + extra
+
         if sys.platform == "win32":
             from distutils._msvccompiler import MSVCCompiler
             if not isinstance(self.compiler, MSVCCompiler):
diff -rupN --no-dereference Python-3.10.9/Lib/distutils/cygwinccompiler.py Python-3.10.9-new/Lib/distutils/cygwinccompiler.py
--- Python-3.10.9/Lib/distutils/cygwinccompiler.py	2022-12-06 19:31:21.000000000 +0100
+++ Python-3.10.9-new/Lib/distutils/cygwinccompiler.py	2022-12-08 09:36:58.501024842 +0100
@@ -91,6 +91,7 @@ class CygwinCCompiler(UnixCCompiler):
     obj_extension = ".o"
     static_lib_extension = ".a"
     shared_lib_extension = ".dll"
+    dylib_lib_extension = ".dll.a"
     static_lib_format = "lib%s%s"
     shared_lib_format = "%s%s"
     exe_extension = ".exe"
@@ -235,8 +236,9 @@ class CygwinCCompiler(UnixCCompiler):
         # (On my machine: 10KiB < stripped_file < ??100KiB
         #   unstripped_file = stripped_file + XXX KiB
         #  ( XXX=254 for a typical python extension))
-        if not debug:
-            extra_preargs.append("-s")
+        # => Let mingw-find-debuginfo.sh strip the binaries
+        # if not debug:
+        #     extra_preargs.append("-s")
 
         UnixCCompiler.link(self, target_desc, objects, output_filename,
                            output_dir, libraries, library_dirs,
@@ -313,7 +315,10 @@ class Mingw32CCompiler(CygwinCCompiler):
 
         # Include the appropriate MSVC runtime library if Python was built
         # with MSVC 7.0 or later.
-        self.dll_libraries = get_msvcr()
+        self.dll_libraries = get_msvcr() or []
+
+    def runtime_library_dir_option(self, dir):
+        return "-L" + dir
 
 # Because these compilers aren't configured in Python's pyconfig.h file by
 # default, we should at least warn the user if he is using an unmodified
@@ -366,7 +371,7 @@ def check_config_h():
         return (CONFIG_H_UNCERTAIN,
                 "couldn't read '%s': %s" % (fn, exc.strerror))
 
-RE_VERSION = re.compile(br'(\d+\.\d+(\.\d+)*)')
+RE_VERSION = re.compile(br'[\D\s]*(\d+\.\d+(\.\d+)*).*$')
 
 def _find_exe_version(cmd):
     """Find the version of an executable by running `cmd` in the shell.
@@ -394,10 +399,14 @@ def get_versions():
 
     If not possible it returns None for it.
     """
-    commands = ['gcc -dumpversion', 'ld -v', 'dllwrap --version']
+    gcc = os.environ.get('CC') or 'gcc'
+    ld = os.environ.get('LD') or 'ld'
+    dllwrap = os.environ.get('DLLWRAP') or 'dllwrap'
+    commands = [gcc+' -dumpfullversion -dumpversion', ld+' -v', dllwrap+' --version']
     return tuple([_find_exe_version(cmd) for cmd in commands])
 
 def is_cygwingcc():
     '''Try to determine if the gcc that would be used is from cygwin.'''
-    out_string = check_output(['gcc', '-dumpmachine'])
+    gcc = os.environ.get('CC') or 'gcc'
+    out_string = check_output([gcc, '-dumpmachine'])
     return out_string.strip().endswith(b'cygwin')
diff -rupN --no-dereference Python-3.10.9/Lib/distutils/sysconfig.py Python-3.10.9-new/Lib/distutils/sysconfig.py
--- Python-3.10.9/Lib/distutils/sysconfig.py	2022-12-06 19:31:21.000000000 +0100
+++ Python-3.10.9-new/Lib/distutils/sysconfig.py	2022-12-08 09:36:58.501024842 +0100
@@ -201,7 +201,7 @@ def customize_compiler(compiler):
     Mainly needed on Unix, so we can plug in the information that
     varies across Unices and is stored in Python's Makefile.
     """
-    if compiler.compiler_type == "unix":
+    if compiler.compiler_type in ["unix", "cygwin", "mingw32"]:
         if sys.platform == "darwin":
             # Perform first-time customization of compiler-related
             # config vars on OS X now that we know we need a compiler.
diff -rupN --no-dereference Python-3.10.9/Lib/distutils/util.py Python-3.10.9-new/Lib/distutils/util.py
--- Python-3.10.9/Lib/distutils/util.py	2022-12-06 19:31:21.000000000 +0100
+++ Python-3.10.9-new/Lib/distutils/util.py	2022-12-08 09:36:58.501024842 +0100
@@ -37,6 +37,8 @@ def get_host_platform():
 
     """
     if os.name == 'nt':
+        if 'GCC' in sys.version:
+            return 'mingw'
         if 'amd64' in sys.version.lower():
             return 'win-amd64'
         if '(arm)' in sys.version.lower():
diff -rupN --no-dereference Python-3.10.9/Lib/sysconfig.py Python-3.10.9-new/Lib/sysconfig.py
--- Python-3.10.9/Lib/sysconfig.py	2022-12-08 09:36:57.942024830 +0100
+++ Python-3.10.9-new/Lib/sysconfig.py	2022-12-08 09:36:58.502024842 +0100
@@ -689,6 +689,8 @@ def get_platform():
 
     """
     if os.name == 'nt':
+        if 'GCC' in sys.version:
+            return 'mingw'
         if 'amd64' in sys.version.lower():
             return 'win-amd64'
         if '(arm)' in sys.version.lower():