TYP: Fix typing for searchsorted (#42788)

Author: rhshadrach

pandas/core/reshape/tile.py

@@ -4,6 +4,7 @@
 from typing import (
     Any,
     Callable,
+    Literal,
 )
 
 import numpy as np
@@ -417,12 +418,8 @@ def _bins_to_cuts(
         else:
             bins = unique_bins
 
-    side = "left" if right else "right"
-    # error: No overload variant of "searchsorted" of "ndarray" matches
-    # argument types "Any", "str"
-    ids = ensure_platform_int(
-        bins.searchsorted(x, side=side)  # type: ignore[call-overload]
-    )
+    side: Literal["left", "right"] = "left" if right else "right"
+    ids = ensure_platform_int(bins.searchsorted(x, side=side))
 
     if include_lowest:
         ids[np.asarray(x) == bins[0]] = 1