chore: enable node split repo local pp to run (#2404)

Source-Link: googleapis/synthtool@61b00bd
Post-Processor: gcr.io/cloud-devrel-public-resources/owlbot-nodejs:latest@sha256:d7121436478154661c563c87f931ca78030903b813239c577f91021cda86cec3

Co-authored-by: Owl Bot <gcf-owl-bot[bot]@users.noreply.github.com>
Co-authored-by: alkatrivedi <[email protected]>

Author: gcf-owl-bot[bot]

.github/.OwlBot.lock.yaml

@@ -13,5 +13,5 @@
 # limitations under the License.
 docker:
   image: gcr.io/cloud-devrel-public-resources/owlbot-nodejs:latest
-  digest: sha256:b612d739b0533e56ba174526ca339f264b63e911c30d6f83f55b57c38cc6ad2a
-# created: 2025-08-15T12:36:48.871481111Z
+  digest: sha256:d7121436478154661c563c87f931ca78030903b813239c577f91021cda86cec3
+# created: 2025-08-28T17:36:59.211564853Z