The Brahe story takes place in the 2420s. While there are no official uniforms from this period, the last known canonical uniforms were show in Star Trek: Picard . Therefore, we follow the general appearance of those uniforms.
image from ex-astris-scientia.org
The Star Trek Online uniform guide has the appropriate colors for these uniforms.
More uniform variations may appear during Picard’s airing. This thread will be updated as information becomes available.