Check enums created with functional syntax against class name regex

Author: jacobtylerwalls

doc/whatsnew/fragments/10660.false_positive

@@ -0,0 +1,4 @@
+Check enums created with the `Enum()` functional syntax to pass against the
+``--class-rgx`` for the :ref:`invalid-name` check, like other enums.
+
+Closes #10660

pylint/checkers/base/name_checker/checker.py

@@ -14,7 +14,7 @@
 from collections.abc import Iterable
 from enum import Enum, auto
 from re import Pattern
-from typing import TYPE_CHECKING
+from typing import TYPE_CHECKING, cast
 
 import astroid
 from astroid import bases, nodes, util
@@ -484,13 +484,24 @@ def visit_assignname(  # pylint: disable=too-many-branches,too-many-statements
                         )
                         return
 
-                # Check classes (TypeVar's are classes so they need to be excluded first)
-                elif isinstance(inferred_assign_type, nodes.ClassDef):
-                    self._check_name("class", node.name, node)
-
                 elif inferred_assign_type in (None, util.Uninferable):
                     return
 
+                # Check classes (TypeVar's are classes so they need to be excluded first)
+                elif isinstance(
+                    cast(InferenceResult, inferred_assign_type), nodes.ClassDef
+                ) or (
+                    isinstance(inferred_assign_type, bases.Instance)
+                    and "EnumMeta"
+                    in {
+                        ancestor.name
+                        for ancestor in cast(
+                            InferenceResult, inferred_assign_type
+                        ).mro()
+                    }
+                ):
+                    self._check_name("class", node.name, node)
+
                 # Don't emit if the name redefines an import in an ImportError except handler
                 # nor any other reassignment.
                 elif (

tests/functional/i/invalid/invalid_name.py

@@ -117,3 +117,7 @@ def tearDown(self): ...  # pylint: disable=invalid-name
 class FooBarSubclass(FooBar):
     tearDown = FooBar.tearDown
     tearDownNotInAncestor = None  # [invalid-name]
+
+
+from enum import Enum
+Color = Enum('Color', [('RED', 1), ('GREEN', 2), ('BLUE', 3)])