Maintenance: delete examples in packages folder

[saragerion]

Description of the feature request

Problem statement

Redundant examples in the logger folder.

Summary of the feature

The scope of this Issue is to delete this folder:
https://github.com/awslabs/aws-lambda-powertools-typescript/tree/main/packages/logger/examples
Nobody is using this folder, and it's just redundant at this point.

Code examples

Benefits for you and the wider AWS community

Describe alternatives you've considered

Additional context

Related issues, RFCs

[saragerion]

Description TBD later

[saragerion]

As discussed today among the team, we will put this on hold to wait for developers' feedback on the usefulness of docs, examples in packages, global examples

[saragerion]

Essentially the scope of this Issue is to delete this folder:
https://github.com/awslabs/aws-lambda-powertools-typescript/tree/main/packages/logger/examples
Nobody is using this folder, and it's just redundant at this point.