bpo-45121: Fix RecursionError when calling Protocol.__init__ from a subclass' __init__ (GH-28206) (GH-28232)

(cherry picked from commit c11956a8bddd75f02ccc7b4da7e4d8123e1f3c5f)

Co-authored-by: Yurii Karabas <1998uriyyo@gmail.com>
diff --git a/Lib/test/test_typing.py b/Lib/test/test_typing.py
index 459af25..c84ff0f 100644
--- a/Lib/test/test_typing.py
+++ b/Lib/test/test_typing.py
@@ -1604,6 +1604,16 @@ class P(Protocol):
         with self.assertRaisesRegex(TypeError, "@runtime_checkable"):
             isinstance(1, P)
 
+    def test_super_call_init(self):
+        class P(Protocol):
+            x: int
+
+        class Foo(P):
+            def __init__(self):
+                super().__init__()
+
+        Foo()  # Previously triggered RecursionError
+
 
 class GenericTests(BaseTestCase):
 
diff --git a/Lib/typing.py b/Lib/typing.py
index 24f834e..5873d53 100644
--- a/Lib/typing.py
+++ b/Lib/typing.py
@@ -1404,6 +1404,11 @@ def _no_init_or_replace_init(self, *args, **kwargs):
     if cls._is_protocol:
         raise TypeError('Protocols cannot be instantiated')
 
+    # Already using a custom `__init__`. No need to calculate correct
+    # `__init__` to call. This can lead to RecursionError. See bpo-45121.
+    if cls.__init__ is not _no_init_or_replace_init:
+        return
+
     # Initially, `__init__` of a protocol subclass is set to `_no_init_or_replace_init`.
     # The first instantiation of the subclass will call `_no_init_or_replace_init` which
     # searches for a proper new `__init__` in the MRO. The new `__init__`