I would not get that. Bluetooth will add latency - and may (apparently) even add it if you plug in directly, depending on how that device is built.
A better proposition would be the Alto TS310:
www.altoprofessional.com/products/ts310
It’s bigger but cheaper and is a ‘proper’ PA speaker, used by lots of guitarists. Rebadged, these are sold as the Headrush FRFR (apparently). You don’t need to get a pair.
I have two of these and I have a room about the same size as yours. You certainly wouldn’t want to play even one at full volume in there but turned out it will be fine IMO.