Migrate to latest ZIO and Zlayer for dependency management

[dnaumenko]

Not so far time ago, a new feature of ZIO released called ZLayer (https://zio.dev/docs/howto/howto_use_layers). It fixes an old approach known as Module Pattern or approach where you hard-code dependencies in interface level (it could be seen in current code).

It would be nice to try it out and migrate current dependencies to a new system.

Some docs could be find here - https://docs.google.com/document/d/1P0mx1gSNU2UTi-9PXUeY8O74v5gyK-UETznM1SbkQjA/edit#heading=h.tsittnt9c96t