fix(deps): bump @aws-sdk/client-app-mesh from 3.301.0 to 3.350.0

Bumps [@aws-sdk/client-app-mesh](https://github.com/aws/aws-sdk-js-v3/tree/HEAD/clients/client-app-mesh) from 3.301.0 to 3.350.0.
- [Release notes](https://github.com/aws/aws-sdk-js-v3/releases)
- [Changelog](https://github.com/aws/aws-sdk-js-v3/blob/main/clients/client-app-mesh/CHANGELOG.md)
- [Commits](https://github.com/aws/aws-sdk-js-v3/commits/v3.350.0/clients/client-app-mesh)

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

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

package.json

@@ -27,7 +27,7 @@
   "homepage": "https://github.com/scribd/amazon-appmesh-virtual-node-action#readme",
   "dependencies": {
     "@actions/core": "^1.10.0",
-    "@aws-sdk/client-app-mesh": "^3.301.0",
+    "@aws-sdk/client-app-mesh": "^3.350.0",
     "@aws-sdk/util-waiter": "^3.296.0",
     "lodash": "^4.17.21",
     "yaml": "^2.2.1"