BUG: Make Series flex methods (truediv, floordiv, etc.) raise NotImplementedError for bool dtypes

Apply _bool_arith_check in Series._binop() to ensure flex methods like
truediv(), floordiv(), pow() raise NotImplementedError for bool dtypes,
consistent with their dunder counterparts (__truediv__, __floordiv__, etc.).

The fix applies the check directly rather than routing through arithmetic_op()
to avoid affecting comparison operations (gt, lt, etc.) that also use _binop.

Closes #63250

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude Opus 4.5 <[email protected]>

Author: majiayu000

pandas/core/ops/__init__.py

@@ -7,6 +7,7 @@
 from __future__ import annotations
 
 from pandas.core.ops.array_ops import (
+    _bool_arith_check,
     arithmetic_op,
     comp_method_OBJECT_ARRAY,
     comparison_op,

pandas/core/series.py

@@ -6718,6 +6718,9 @@ def _binop(self, other: Series, func, level=None, fill_value=None) -> Series:
         this_vals, other_vals = ops.fill_binop(this._values, other._values, fill_value)
 
         with np.errstate(all="ignore"):
+            # GH#63250: Apply _bool_arith_check for arithmetic operations on bool dtype
+            # to ensure consistent behavior between flex methods and dunder methods
+            ops._bool_arith_check(func, this_vals, other_vals)
             result = func(this_vals, other_vals)
 
         name = ops.get_op_result_name(self, other)