chore(librarian): fix post processing script for storage (#17835)

Update post processing script for storage based on recent changes in the
generator.

See:
3a67b7f#diff-2d31516250b577ac1595ce21c0c10852c068468b67b5cdf487b148936bb03b59R41-R46

Author: ohmayr

.librarian/generator-input/client-post-processing/storage-integration.yaml

@@ -1,23 +1,5 @@
 description: Restore handwritten __init__.py for google-cloud-storage
 replacements:
-  - paths: [
-      packages/google-cloud-storage/noxfile.py,
-    ]
-    before: |
-      CURRENT_DIRECTORY = pathlib.Path\(__file__\).parent.absolute\(\)
-    after: |
-      CURRENT_DIRECTORY = pathlib.Path(__file__).parent.absolute()
-      # Path to the centralized mypy configuration file at the repository root.
-      # Search upwards to support running nox from both monorepo packages and integration test goldens.
-      MYPY_CONFIG_FILE = next(
-          (
-              str(p / "mypy.ini")
-              for p in CURRENT_DIRECTORY.parents
-              if (p / "mypy.ini").exists()
-          ),
-          str(CURRENT_DIRECTORY.parent.parent / "mypy.ini"),
-      )
-    count: 1
   - paths: [
       packages/google-cloud-storage/noxfile.py,
     ]
@@ -658,7 +640,7 @@ replacements:
       packages/google-cloud-storage/testing/constraints-3.10.txt
     ]
     before: |
-      google-api-core==2.24.2
+      google-api-core==2.25.0
       google-auth==2.14.1
       grpcio==1.59.0
       proto-plus==1.26.1