BUG: PeriodIndex fails to handle NA, rather than putting NaT in its place (pandas-dev#46673)

Author: kapiliyer

pandas/tests/series/methods/test_astype.py

@@ -446,7 +446,7 @@ def test_astype_string_to_extension_dtype_roundtrip(
         self, data, dtype, request, nullable_string_dtype
     ):
         if dtype == "boolean" or (
-            dtype in ("period[M]", "datetime64[ns]", "timedelta64[ns]") and NaT in data
+            dtype in ("datetime64[ns]", "timedelta64[ns]") and NaT in data
         ):
             mark = pytest.mark.xfail(
                 reason="TODO StringArray.astype() with missing values #GH40566"