fix(deps): update dependency google-gax to v4.4.1 (#2100)

This PR contains the following updates:

| Package | Change | Age | Adoption | Passing | Confidence |
|---|---|---|---|---|---|
| [google-gax](https://redirect.github.com/googleapis/gax-nodejs) ([source](https://redirect.github.com/googleapis/gax-nodejs/tree/HEAD/gax)) | [`4.3.9` -> `4.4.1`](https://renovatebot.com/diffs/npm/google-gax/4.3.9/4.4.1) | [![age](https://developer.mend.io/api/mc/badges/age/npm/google-gax/4.4.1?slim=true)](https://docs.renovatebot.com/merge-confidence/) | [![adoption](https://developer.mend.io/api/mc/badges/adoption/npm/google-gax/4.4.1?slim=true)](https://docs.renovatebot.com/merge-confidence/) | [![passing](https://developer.mend.io/api/mc/badges/compatibility/npm/google-gax/4.3.9/4.4.1?slim=true)](https://docs.renovatebot.com/merge-confidence/) | [![confidence](https://developer.mend.io/api/mc/badges/confidence/npm/google-gax/4.3.9/4.4.1?slim=true)](https://docs.renovatebot.com/merge-confidence/) |

---

### Release Notes

<details>
<summary>googleapis/gax-nodejs (google-gax)</summary>

### [`v4.4.1`](https://redirect.github.com/googleapis/gax-nodejs/blob/HEAD/gax/CHANGELOG.md#441-2024-09-04)

[Compare Source](https://redirect.github.com/googleapis/gax-nodejs/compare/google-gax-v4.4.0...google-gax-v4.4.1)

##### Bug Fixes

-   expose underlying error with timeouts or retries ([#&#8203;1650](https://redirect.github.com/googleapis/gax-nodejs/issues/1650)) ([f4d037a](https://redirect.github.com/googleapis/gax-nodejs/commit/f4d037ac6638b5e9eeb2ee608fe1d8e4cb9a19d3))

### [`v4.4.0`](https://redirect.github.com/googleapis/gax-nodejs/blob/HEAD/gax/CHANGELOG.md#440-2024-08-27)

[Compare Source](https://redirect.github.com/googleapis/gax-nodejs/compare/google-gax-v4.3.9...google-gax-v4.4.0)

##### Features

-   Improve `AuthClient` Compatibility ([#&#8203;1641](https://redirect.github.com/googleapis/gax-nodejs/issues/1641)) ([4edd33d](https://redirect.github.com/googleapis/gax-nodejs/commit/4edd33db2670eb081f5744907b879d6669d4fad2))

##### Bug Fixes

-   **deps:** update dependency protobufjs-cli to v1.1.3 ([#&#8203;1645](https://redirect.github.com/googleapis/gax-nodejs/issues/1645)) ([1b2ffdf](https://redirect.github.com/googleapis/gax-nodejs/commit/1b2ffdfdf2a2eed08c81b1b1be6943424fd15258))

</details>

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package.json

@@ -71,7 +71,7 @@
     "events-intercept": "^2.0.0",
     "extend": "^3.0.2",
     "google-auth-library": "^9.0.0",
-    "google-gax": "4.3.9",
+    "google-gax": "4.4.1",
     "grpc-gcp": "^1.0.0",
     "is": "^3.2.1",
     "lodash.snakecase": "^4.1.1",