Move DebugLogConfigurator into new logger infrastructure

See [this](https://github.com/thunderbird/thunderbird-android/pull/9509?notification_referrer_id=NT_kwDOA5_-kbQxNzgyMjI2NDEzMTo2MDgxNzA0MQ#discussion_r2254110042).

Additionally, remove the `DebugLogConfigurator` from the exclusion list of Timber logging, present in the `ValidateLogger#no class should use Timber logging` quality test. 

See also #9584 