bpo-44676: Serialize the union type using only public API (GH-27323) (GH-27340)

Remove also the _from_args() constructor.
(cherry picked from commit 435a0334d341e5f8faed594d9f015746bb7845db)

Co-authored-by: Serhiy Storchaka <storchaka@gmail.com>
diff --git a/Lib/copyreg.py b/Lib/copyreg.py
index 7ab8c12..356db6f 100644
--- a/Lib/copyreg.py
+++ b/Lib/copyreg.py
@@ -36,6 +36,12 @@ def pickle_complex(c):
 
     pickle(complex, pickle_complex, complex)
 
+def pickle_union(obj):
+    import functools, operator
+    return functools.reduce, (operator.or_, obj.__args__)
+
+pickle(type(int | str), pickle_union)
+
 # Support for pickling new-style objects
 
 def _reconstructor(cls, base, state):
diff --git a/Lib/test/test_types.py b/Lib/test/test_types.py
index 3f491ee..b1218ab 100644
--- a/Lib/test/test_types.py
+++ b/Lib/test/test_types.py
@@ -3,6 +3,7 @@
 from test.support import run_with_locale, cpython_only
 import collections.abc
 from collections import namedtuple
+import copy
 import gc
 import inspect
 import pickle
@@ -807,36 +808,20 @@ def eq(actual, expected, typed=True):
         eq(x[S], int | S | bytes)
 
     def test_union_pickle(self):
-        alias = list[T] | int
-        s = pickle.dumps(alias)
-        loaded = pickle.loads(s)
-        self.assertEqual(alias, loaded)
-        self.assertEqual(alias.__args__, loaded.__args__)
-        self.assertEqual(alias.__parameters__, loaded.__parameters__)
+        orig = list[T] | int
+        for proto in range(pickle.HIGHEST_PROTOCOL + 1):
+            s = pickle.dumps(orig, proto)
+            loaded = pickle.loads(s)
+            self.assertEqual(loaded, orig)
+            self.assertEqual(loaded.__args__, orig.__args__)
+            self.assertEqual(loaded.__parameters__, orig.__parameters__)
 
-    def test_union_from_args(self):
-        with self.assertRaisesRegex(
-                TypeError,
-                r"^Each union argument must be a type, got 1$",
-        ):
-            types.Union._from_args((1,))
-
-        with self.assertRaisesRegex(
-                TypeError,
-                r"Union._from_args\(\) argument 'args' must be tuple, not int$",
-        ):
-            types.Union._from_args(1)
-
-        with self.assertRaisesRegex(ValueError, r"args must be not empty"):
-            types.Union._from_args(())
-
-        alias = types.Union._from_args((int, list[T], None))
-
-        self.assertEqual(alias.__args__, (int, list[T], type(None)))
-        self.assertEqual(alias.__parameters__, (T,))
-
-        result = types.Union._from_args((int,))
-        self.assertIs(int, result)
+    def test_union_copy(self):
+        orig = list[T] | int
+        for copied in (copy.copy(orig), copy.deepcopy(orig)):
+            self.assertEqual(copied, orig)
+            self.assertEqual(copied.__args__, orig.__args__)
+            self.assertEqual(copied.__parameters__, orig.__parameters__)
 
     def test_union_parameter_substitution_errors(self):
         T = typing.TypeVar("T")
diff --git a/Lib/typing.py b/Lib/typing.py
index 0570b4e..ae31589 100644
--- a/Lib/typing.py
+++ b/Lib/typing.py
@@ -321,7 +321,7 @@ def _eval_type(t, globalns, localns, recursive_guard=frozenset()):
         if isinstance(t, GenericAlias):
             return GenericAlias(t.__origin__, ev_args)
         if isinstance(t, types.Union):
-            return types.Union._from_args(ev_args)
+            return functools.reduce(operator.or_, ev_args)
         else:
             return t.copy_with(ev_args)
     return t
@@ -1806,7 +1806,7 @@ def _strip_annotations(t):
         stripped_args = tuple(_strip_annotations(a) for a in t.__args__)
         if stripped_args == t.__args__:
             return t
-        return types.Union._from_args(stripped_args)
+        return functools.reduce(operator.or_, stripped_args)
 
     return t