chore(deps): update dependency com.google.api:gapic-generator-java to v2.62.1 (#11739)

This PR contains the following updates:

| Package | Change | Age | Confidence |
|---|---|---|---|
|
[com.google.api:gapic-generator-java](https://redirect.github.com/googleapis/sdk-platform-java)
| `2.62.0` -> `2.62.1` |
[![age](https://developer.mend.io/api/mc/badges/age/maven/com.google.api:gapic-generator-java/2.62.1?slim=true)](https://docs.renovatebot.com/merge-confidence/)
|
[![confidence](https://developer.mend.io/api/mc/badges/confidence/maven/com.google.api:gapic-generator-java/2.62.0/2.62.1?slim=true)](https://docs.renovatebot.com/merge-confidence/)
|

---

> [!WARNING]
> Some dependencies could not be looked up. Check the Dependency
Dashboard for more information.

---

### Release Notes

<details>
<summary>googleapis/sdk-platform-java
(com.google.api:gapic-generator-java)</summary>

###
[`v2.62.1`](https://redirect.github.com/googleapis/sdk-platform-java/blob/HEAD/CHANGELOG.md#2621-2025-09-05)

[Compare
Source](https://redirect.github.com/googleapis/sdk-platform-java/compare/v2.62.0...v2.62.1)

##### Dependencies

- Update auth to 1.39.0
([#&#8203;3898](https://redirect.github.com/googleapis/sdk-platform-java/issues/3898))
([9a8443d](https://redirect.github.com/googleapis/sdk-platform-java/commit/9a8443d71cdbdb7a693b6da08db72edb85490807))

</details>

---

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This PR was generated by [Mend Renovate](https://mend.io/renovate/).
View the [repository job
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Author: renovate-bot

.github/workflows/ci.yaml

@@ -127,7 +127,7 @@ jobs:
           gcr.io/cloud-devrel-public-resources/java-library-generation:"${library_generation_image_tag}" \
           /src/library_generation/cli/entry_point.py validate-generation-config
       env:
-        library_generation_image_tag: 2.62.0
+        library_generation_image_tag: 2.62.1
         workspace_name: /workspace
 
 # TODO: Uncomment the needed Github Actions

.github/workflows/generated_files_sync.yaml

@@ -20,7 +20,7 @@ on:
   pull_request:
 name: generation diff
 env:
-  library_generation_image_tag: 2.62.0
+  library_generation_image_tag: 2.62.1
 jobs:
   root-pom:
     # root pom.xml does not have diff from generated one