deps: update dependency com.google.api:api-common to v2.2.2 (#892)

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This PR contains the following updates:

| Package | Change | Age | Adoption | Passing | Confidence |
|---|---|---|---|---|---|
| [com.google.api:api-common](https://togithub.com/googleapis/api-common-java) | `2.2.1` -> `2.2.2` | [![age](https://badges.renovateapi.com/packages/maven/com.google.api:api-common/2.2.2/age-slim)](https://docs.renovatebot.com/merge-confidence/) | [![adoption](https://badges.renovateapi.com/packages/maven/com.google.api:api-common/2.2.2/adoption-slim)](https://docs.renovatebot.com/merge-confidence/) | [![passing](https://badges.renovateapi.com/packages/maven/com.google.api:api-common/2.2.2/compatibility-slim/2.2.1)](https://docs.renovatebot.com/merge-confidence/) | [![confidence](https://badges.renovateapi.com/packages/maven/com.google.api:api-common/2.2.2/confidence-slim/2.2.1)](https://docs.renovatebot.com/merge-confidence/) |

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### Release Notes

<details>
<summary>googleapis/api-common-java</summary>

### [`v2.2.2`](https://togithub.com/googleapis/api-common-java/blob/HEAD/CHANGELOG.md#&#8203;222-httpsgithubcomgoogleapisapi-common-javacomparev221v222-2022-08-04)

[Compare Source](https://togithub.com/googleapis/api-common-java/compare/v2.2.1...v2.2.2)

##### Dependencies

-   update dependency com.google.errorprone:error_prone_annotations to v2.15.0 ([#&#8203;364](https://togithub.com/googleapis/api-common-java/issues/364)) ([28ff65d](https://togithub.com/googleapis/api-common-java/commit/28ff65d7e70495cc079379b8e78cb515a2960dae))

</details>

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java-shared-dependencies/first-party-dependencies/pom.xml

@@ -61,7 +61,7 @@
     <gson.version>2.10</gson.version>
     <guava.version>31.1-jre</guava.version>
     <protobuf.version>3.21.9</protobuf.version>
-    <google.api-common.version>2.2.1</google.api-common.version>
+    <google.api-common.version>2.2.2</google.api-common.version>
     <google.common-protos.version>2.9.6</google.common-protos.version>
     <google.core.version>2.8.24</google.core.version>
     <google.auth.version>1.12.1</google.auth.version>