gh-124218: Refactor per-thread reference counting (#124844)

Currently, we only use per-thread reference counting for heap type objects and
the naming reflects that. We will extend it to a few additional types in an
upcoming change to avoid scaling bottlenecks when creating nested functions.

Rename some of the files and functions in preparation for this change.

Objects/typeobject.c

@@ -3932,7 +3932,7 @@ type_new_alloc(type_new_ctx *ctx)
     et->ht_token = NULL;
 
 #ifdef Py_GIL_DISABLED
-    _PyType_AssignId(et);
+    et->unique_id = _PyObject_AssignUniqueId((PyObject *)et);
 #endif
 
     return type;
@@ -5026,7 +5026,7 @@ PyType_FromMetaclass(
 
 #ifdef Py_GIL_DISABLED
     // Assign a type id to enable thread-local refcounting
-    _PyType_AssignId(res);
+    res->unique_id = _PyObject_AssignUniqueId((PyObject *)res);
 #endif
 
     /* Ready the type (which includes inheritance).
@@ -6080,7 +6080,7 @@ type_dealloc(PyObject *self)
     Py_XDECREF(et->ht_module);
     PyMem_Free(et->_ht_tpname);
 #ifdef Py_GIL_DISABLED
-    _PyType_ReleaseId(et);
+    _PyObject_ReleaseUniqueId(et->unique_id);
 #endif
     et->ht_token = NULL;
     Py_TYPE(type)->tp_free((PyObject *)type);