bpo-40221: Update multiprocessing to use _at_fork_reinit (GH-19477)

diff --git a/Lib/multiprocessing/util.py b/Lib/multiprocessing/util.py
index 32c7a96..21f2a7e 100644
--- a/Lib/multiprocessing/util.py
+++ b/Lib/multiprocessing/util.py
@@ -367,13 +367,13 @@
 
 class ForkAwareThreadLock(object):
     def __init__(self):
-        self._reset()
-        register_after_fork(self, ForkAwareThreadLock._reset)
-
-    def _reset(self):
         self._lock = threading.Lock()
         self.acquire = self._lock.acquire
         self.release = self._lock.release
+        register_after_fork(self, ForkAwareThreadLock._at_fork_reinit)
+
+    def _at_fork_reinit(self):
+        self._lock._at_fork_reinit()
 
     def __enter__(self):
         return self._lock.__enter__()