Bump @aws-sdk/client-ecr-public from 3.186.0 to 3.222.0

Bumps [@aws-sdk/client-ecr-public](https://github.com/aws/aws-sdk-js-v3/tree/HEAD/clients/client-ecr-public) from 3.186.0 to 3.222.0.
- [Release notes](https://github.com/aws/aws-sdk-js-v3/releases)
- [Changelog](https://github.com/aws/aws-sdk-js-v3/blob/main/clients/client-ecr-public/CHANGELOG.md)
- [Commits](https://github.com/aws/aws-sdk-js-v3/commits/v3.222.0/clients/client-ecr-public)

---
updated-dependencies:
- dependency-name: "@aws-sdk/client-ecr-public"
  dependency-type: direct:production
  update-type: version-update:semver-minor
...

Signed-off-by: dependabot[bot] <support@github.com>

package.json

@@ -31,7 +31,7 @@
     "@actions/exec": "^1.1.1",
     "@actions/io": "^1.1.2",
     "@aws-sdk/client-ecr": "^3.186.0",
-    "@aws-sdk/client-ecr-public": "^3.186.0",
+    "@aws-sdk/client-ecr-public": "^3.222.0",
     "http-proxy-agent": "^5.0.0",
     "https-proxy-agent": "^5.0.1"
   },