[3.13] gh-126664: Use else instead of finally in "The with statement" documentation. (GH-126665) (#126670)

gh-126664: Use `else` instead of `finally` in "The with statement" documentation. (GH-126665)
(cherry picked from commit 25257d61cf)

Co-authored-by: vivodi <103735539+vivodi@users.noreply.github.com>

Doc/reference/compound_stmts.rst

@@ -534,18 +534,15 @@ is semantically equivalent to::
     enter = type(manager).__enter__
     exit = type(manager).__exit__
     value = enter(manager)
-    hit_except = False
 
     try:
         TARGET = value
         SUITE
     except:
-        hit_except = True
         if not exit(manager, *sys.exc_info()):
             raise
-    finally:
-        if not hit_except:
-            exit(manager, None, None, None)
+    else:
+        exit(manager, None, None, None)
 
 With more than one item, the context managers are processed as if multiple
 :keyword:`with` statements were nested::