[Chore] Remove register.patch.test.ts (#123)

*Issue #, if available:*
See context in:

#13 (comment)

The `register.patch.test.ts` is being removed in favor of the existing
contract tests for AWS SDK patches.

*Description of changes:*
Remove `register.patch.test.ts` and associated resources.

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Author: jj22ee

aws-distro-opentelemetry-node-autoinstrumentation/package.json

@@ -65,7 +65,6 @@
     "@aws-sdk/client-bedrock-runtime": "3.632.0",
     "@aws-sdk/client-kinesis": "3.632.0",
     "@aws-sdk/client-s3": "3.632.0",
-    "@aws-sdk/client-sqs": "3.632.0",
     "@opentelemetry/contrib-test-utils": "0.41.0",
     "@types/mocha": "7.0.2",
     "@types/node": "18.6.5",