Docs: add SAM support in examples folder

[saragerion]

Description of the feature request

Add examples of usage of the utilities in the examples folder.

Problem statement

Summary of the feature

• Infrastructure
• Lambda handler(s) code in TypeScript
• Readme with deployment guide
• References to this sample in the project documentation

Code examples

CDK example for reference:
https://github.com/awslabs/aws-lambda-powertools-typescript/tree/main/examples/cdk

Benefits for you and the wider AWS community

Developers who use SAM can get started more quickly

Describe alternatives you've considered

Other IaC tool, which can be added later on in the roadmap.

Related issues, RFCs

docs(all): add CDK, Terraform, Serverless Framework, Terraform, Amplify examples
docs(examples): CDK example improvement with best practices

[dreamorosi]

Thank you Sara for opening the issue, as soon as we have a resolver please ask them know if they could leave a comment here so we can assign the issue & mark it as "in progress".

[bpauwels]

I will be picking up this issue

[flochaz]

I gave it a try few weeks ago if it can help : https://github.com/flochaz/powertools-javascript-sam-sample

[bpauwels]

I have just created the following PR: #674

As a reference, I used the API example that comes with AWS SAM. I have translated it into TypeScript and added the Powertools-Features to it.