focus_mode: Make YouTube Music playlist consistent

This implements a new YouTube Music API that queries a playlist given an
ID at the back end. At the front end, it makes sure focus supermix and
last selected playlist show up in the focus panel consistently.

Bug: b/341380572
Test: Manual
Change-Id: Id003459fd463e924640d27e8a455fb4fab92116e
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/5594141
Commit-Queue: Yongshun Liu <yongshun@chromium.org>
Reviewed-by: Richard Chui <richui@chromium.org>
Reviewed-by: Sean Kau <skau@chromium.org>
Cr-Commit-Position: refs/heads/main@{#1312096}
NOKEYCHECK=True
GitOrigin-RevId: 1ece0ada525e519a865ecf67307d31d071b381be
4 files changed