feat(logger): add e2e tests for logger (#529)

* doc(all): Clarify selecting REGION for e2 tests

* build(logger): add e2e tests

The tests spin up actual infrastructure on AWS, invoke Lambda function, verify that the logs are printed correctly, and destroy the stack afterward.

* chore(logger): remove unused code and dependencies

* chore(logger): add note about flaky case that not some logs are missing

* chore(logger): remove unused code

* chore(logger): fix eslint formatting in e2e tests and return request id from function

* chore(logger): fix typescript errors when running e2e tests

* Update CONTRIBUTING.md

Co-authored-by: Florian Chazal <florianchazal@gmail.com>

* Make doc use the same request id as in doc + Remove unrelevant comment

Co-authored-by: Florian Chazal <florianchazal@gmail.com>

Author: ijemmy

CONTRIBUTING.md

@@ -182,6 +182,9 @@ To run unit tests you can either use
 
 **e2e tests**
 
+**Set up**
+We create e2e testing infrastructure with CDK. If you have never used it before, please check its [Getting started guide](https://docs.aws.amazon.com/cdk/v1/guide/getting_started.html). You need to run `cdk bootstrap` in the account and region you are going to run e2e tests.
+
 **Write**
 
 As mentioned in the previous section, tests are split into groups thanks to [jest-runner-groups](https://www.npmjs.com/package/jest-runner-groups) and therefore each test needs to be tagged properly by adding the following comments in the header of your unit test file:
@@ -207,9 +210,10 @@ To run e2e tests you can either use
 Two important env variable can be used:
 
 * `AWS_PROFILE` to use the right AWS credentials
+* `AWS_REGION` to select the region to deploy e2e tests infrastructure
 * `DISABLE_TEARDOWN` if you don't want your stack to be destroyed at the end of the test (useful in dev mode when iterating over your code).
 
-Example: `DISABLE_TEARDOWN=true AWS_PROFILE=dev-account npx jest --group=e2e/metrics/decorator`
+Example: `DISABLE_TEARDOWN=true AWS_PROFILE=dev-account AWS_REGION=eu-west-1 npx jest --group=e2e/metrics/decorator`
 
 **Automate**