Extract logger into packages

[ygrishajev]

We have a logger in API which provides a proper interface and functionality for the purpose. We need to be able to use it in other packages. For this it needs to be moved to a dedicated package.

Acceptance criteria:

1. a new logging package is created
2. the logger is moved there
3. adjustments to the constructor need to be made to ensure we can still pass the parameters which are currently imported via config
4. api is updated to depend on that package
5. should be covered with unit tests

[forbesus]

Hello @ygrishajev I will take this issue
Please assign me this issue

[ygrishajev]

hey @forbesus! thanks for your initiative. Sure, go for it!