OpenSSL configure API checks use the wrong library order for dependencies in LIBS

Bug description:

The OpenSSL API checks in configure.ac put LIBS before OPENSSL_LIBS and LIBCRYPTO_LIBS. When static OpenSSL depends on a library supplied through LIBS, the linker can encounter the dependency before the archive that references it. The API checks then fail and _ssl / _hashlib are marked as missing.

This is inconsistent with the initial AX_CHECK_OPENSSL link check, which already puts OPENSSL_LIBS before LIBS and succeeds with the same inputs.

Reproduction

Use a static OpenSSL build with zlib enabled (Configure linux-x86_64 no-shared no-tests zlib, with the zlib include/library paths supplied), and a static zlib archive. From an empty CPython build directory:

# Set these to the installed libraries and CPython source tree.
openssl_prefix=/path/to/openssl-zlib
openssl_libdir="$openssl_prefix/lib64"
zlib_archive=/path/to/libz.a
cpython_source=/path/to/cpython

PKG_CONFIG=/bin/false \
LDFLAGS="-L$openssl_libdir" \
LIBS="$zlib_archive" \
"$cpython_source/configure" \
    --with-openssl="$openssl_prefix" \
    --without-ensurepip

Use lib instead of lib64 if appropriate for the OpenSSL installation. Disabling pkg-config here exercises manually supplied dependency flags rather than having pkg-config supply the transitive libraries.

Actual result:

checking whether compiling and linking against OpenSSL works... yes
checking whether OpenSSL provides required ssl module APIs... no
checking whether OpenSSL provides required hashlib module APIs... no
checking for stdlib extension module _ssl... missing
checking for stdlib extension module _hashlib... missing

The failing SSL probe links in this order (paths abbreviated):

gcc ... conftest.c -ldl /path/to/libz.a -lssl -lcrypto
libcrypto.a(libcrypto-lib-c_zlib.o): undefined reference to `inflate'
libcrypto.a(libcrypto-lib-c_zlib.o): undefined reference to `deflate'

Expected: both API checks succeed. Moving the OpenSSL libraries before LIBS fixes both checks with otherwise identical inputs:

-  LIBS="$LIBS $OPENSSL_LIBS"
+  LIBS="$OPENSSL_LIBS $LIBS"

-  LIBS="$LIBS $LIBCRYPTO_LIBS"
+  LIBS="$LIBCRYPTO_LIBS $LIBS"

After regenerating configure with Autoconf 2.72, both API checks and both module configuration results become yes. The unmodified source also passes with ordinary static OpenSSL built without zlib, so this is specific to dependency ordering, not all static OpenSSL configurations.

CPython versions tested on:

CPython main branch, 3.13.15

Operating systems tested on:

main branch on Linux (WSL Ubuntu), 3.13.15 on all vcpkg ci https://github.com/microsoft/vcpkg/pull/53840

Linked PRs

• gh-157756

Beginne in configure.ac bei den OpenSSL API-Prüfungen und vergleiche deren Bibliotheksreihenfolge mit der anfänglichen AX_CHECK_OPENSSL-Link-Prüfung. Reproduziere den configure-Befehl für statisches OpenSSL mit zlib, generiere configure mit Autoconf 2.72 neu und überprüfe, dass sowohl die API-Prüfungen als auch die Modulprüfungen für _ssl und _hashlib Erfolg melden.