Prevent abi3 from being used with no-GIL interpreter

setuptools/command/bdist_wheel.py

@@ -344,16 +344,7 @@ def get_tag(self) -> tuple[str, str, str]:
                 impl = self.python_tag
             tag = (impl, "none", plat_name)
         else:
-            impl_name = tags.interpreter_name()
-            impl_ver = tags.interpreter_version()
-            impl = impl_name + impl_ver
-            # We don't work on CPython 3.1, 3.0.
-            if self.py_limited_api and (impl_name + impl_ver).startswith("cp3"):
-                impl = self.py_limited_api
-                abi_tag = "abi3"
-            else:
-                abi_tag = str(get_abi_tag()).lower()
-            tag = (impl, abi_tag, plat_name)
+            tag = self._get_tag_impure(plat_name)
             # issue gh-374: allow overriding plat_name
             supported_tags = [
                 (t.interpreter, t.abi, plat_name) for t in tags.sys_tags()
@@ -363,6 +354,24 @@ def get_tag(self) -> tuple[str, str, str]:
             ), f"would build wheel with unsupported tag {tag}"
         return tag
 
+    def _get_tag_impure(self, plat_name: str) -> tuple[str, str, str]:
+        impl_name = tags.interpreter_name()
+        impl_ver = tags.interpreter_version()
+        impl = impl_name + impl_ver
+        # We don't work on CPython 3.1, 3.0.
+        if self.py_limited_api and impl.startswith("cp3"):
+            if "t" in impl_ver:
+                log.warn(
+                    f"Ignoring abi3 implied by py_limited_api={self.py_limited_api!r} - "
+                    f"incompatible with {impl!r} interpreter."
+                )
+            else:
+                abi_tag = "abi3"
+            impl = self.py_limited_api
+        else:
+            abi_tag = str(get_abi_tag()).lower()
+        return (impl, abi_tag, plat_name)
+
     def run(self):
         build_scripts = self.reinitialize_command("build_scripts")
         build_scripts.executable = "python"