hey! your Chromebook is a BRYA board with the codename “TAEKO”. looking into that, your Chromebook has an Intel Core i3-13xxU which happens to be Raptor Lake.
this is important because the CoolStar audio drivers list which CPUs are supported on each audio driver. in your case, the “Intel Core i3-13xxU (Raptor Lake)” CPU is listed on the SOF audio driver.
in summary, you need the SOF audio driver hope this helped