BUG: Fix Series.str.contains with compiled regex and arrow strings (#61942)

Author: Aniketsy

pandas/core/arrays/string_arrow.py

@@ -344,6 +344,9 @@ def _str_contains(
         na=lib.no_default,
         regex: bool = True,
     ):
+        if isinstance(pat, re.Pattern) and regex:
+            return super()._str_contains(pat, case, flags, na, regex)
+
         if flags:
             return super()._str_contains(pat, case, flags, na, regex)