[SB][Screen Chips] Finish adding logs to repo, interactor, and VM flows.

Bug: 351785188
Bug: 332662551
Flag: com.android.systemui.status_bar_screen_sharing_chips

Test: Dump `MediaRouter` log buffer, make sure it's readable
Test: Dump `StatusBarChips` log buffer, make sure it's readable and has
all the info
Test: atest MediaRouterRepositoryTest

Change-Id: I2b192ee8a01be5133b5da63677693fce6fb6c185