chore(deps): update dependency @google-cloud/pubsub to ^5.2.2 (#12265)

This PR contains the following updates:

| Package | Type | Update | Change |
|---|---|---|---|
|
[@google-cloud/pubsub](https://redirect.github.com/googleapis/nodejs-pubsub)
| dependencies | patch | [`^5.2.0` ->
`^5.2.2`](https://renovatebot.com/diffs/npm/@google-cloud%2fpubsub/5.2.0/5.2.2)
|

---

### Release Notes

<details>
<summary>googleapis/nodejs-pubsub
(@&#8203;google-cloud/pubsub)</summary>

###
[`v5.2.2`](https://redirect.github.com/googleapis/nodejs-pubsub/blob/HEAD/CHANGELOG.md#522-2026-01-14)

[Compare
Source](https://redirect.github.com/googleapis/nodejs-pubsub/compare/v5.2.1...v5.2.2)

##### Bug Fixes

- **WaitForProcessing:** Shutdown option `WaitForProcessing` never
entered on subscription close
([#&#8203;2118](https://redirect.github.com/googleapis/nodejs-pubsub/issues/2118))
([e99b37e](https://redirect.github.com/googleapis/nodejs-pubsub/commit/e99b37e28ce551ad24325ac951ac33a60f8faa99))

###
[`v5.2.1`](https://redirect.github.com/googleapis/nodejs-pubsub/blob/HEAD/CHANGELOG.md#521-2025-12-19)

[Compare
Source](https://redirect.github.com/googleapis/nodejs-pubsub/compare/v5.2.0...v5.2.1)

##### Bug Fixes

- Check batch size before re-queueing retried messages
([#&#8203;2027](https://redirect.github.com/googleapis/nodejs-pubsub/issues/2027))
([6c1613f](https://redirect.github.com/googleapis/nodejs-pubsub/commit/6c1613fdc6258ccb85427fc371e7bac8082f4a96))
- Move off the remaining rc versions
([#&#8203;2112](https://redirect.github.com/googleapis/nodejs-pubsub/issues/2112))
([a9eb883](https://redirect.github.com/googleapis/nodejs-pubsub/commit/a9eb88335df62606ab3e6cbe11c1d760d1ddbc96))
- Only close the rpcSpan once
([#&#8203;2121](https://redirect.github.com/googleapis/nodejs-pubsub/issues/2121))
([118a960](https://redirect.github.com/googleapis/nodejs-pubsub/commit/118a960b8cfca6203ad1843453c3692b07a94952))
- Updated span kind to CLIENT for ack and modack rpc spans
([#&#8203;2029](https://redirect.github.com/googleapis/nodejs-pubsub/issues/2029))
([801c1c8](https://redirect.github.com/googleapis/nodejs-pubsub/commit/801c1c862a986eefe1eddd2e014be4612cd394d8))

</details>

---

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Co-authored-by: Renovate Bot <renovate@whitesourcesoftware.com>
Co-authored-by: daneatmastra <dane@mastra.ai>
Co-authored-by: Abhi Aiyer <abhiaiyer91@gmail.com>

Author: 4 people

.changeset/@mastra_google-cloud-pubsub-12265-dependencies.md

@@ -0,0 +1,5 @@
+---
+"@mastra/google-cloud-pubsub": patch
+---
+dependencies updates:
+  - Updated dependency [`@google-cloud/pubsub@^5.2.2` ↗︎](https://www.npmjs.com/package/@google-cloud/pubsub/v/5.2.2) (from `^5.2.0`, in `dependencies`)

pnpm-lock.yaml

@@ -29,7 +29,7 @@
     "lint": "eslint ."
   },
   "dependencies": {
-    "@google-cloud/pubsub": "^5.2.0",
+    "@google-cloud/pubsub": "^5.2.2",
     "@inngest/realtime": "^0.4.5",
     "@opentelemetry/api": "^1.9.0",
     "inngest": "^3.44.2",