[SB][Screen Chips] Convert RecordingController logs to LogBuffer.

The new screen chips rely on some data from RecordingController, and
it would be great to always have that log information available in a
LogBuffer.

Bug: 351785188
Bug: 332662551
Flag: NONE logging change

Test: Do some screen recording then dump `RecordingControllerLog` ->
verify logging
Test: atest RecordingControllerTest

Change-Id: Iaeed70782d072ed7b5e552fe00a04f93298bbfa8