[CI]: Migrate deploy-lambda.ts to use IaC

[anthonyting]

What would you like?

The script that deploys the functions for the integration tests currently uses AWS Lambda API calls to deploy the functions. It would be much simpler if we could use CDK or CFN or SAM to deploy the functions instead.

Possible Implementation

The deployer role will need CFN permissions, and the CFN stack will need to be scoped to the correct permissions as well.

Is this a breaking change?

No

Does this require an RFC?

No

Additional Context

No response

[bchampp]

Loosely related - aws-actions/aws-lambda-deploy#61, though I think it's still a better approach for us to use CFN directly.