The Brit is a really nice, newly remodeled building with a very friendly and attentive staff. The location is very convenient, being in Zona Rosa and within walking distance to Zona Roma, La Condesa, Colonia Cuauhtémoc, and Chapultepec park. It's also a short drive away from so many other great parts of Mexico City: Coyoacán, Centro Historico, Polanco, etc. The room was generally well-appointed and both the living room and the bedroom have large TVs. I will definitely consider returning to The Brit for future stays.
There are only two notable downsides:
First, there was no air conditioning or heating in my room. The temperature in CDMX was lovely while I was there and the building is in a well-shaded area, so the room didn't get too hot, but I imagine this could be an issue during other times of the year.
Second, is noise from the bars & clubs across the street. The music and singing of patrons are quite loud and steady from just after dinner time until around midnight most nights of the week. If you spend most of your evenings out enjoying what the city has to offer, this probably won't be a big deal. However, if you like to go to bed earlier or just want to have a chill evening in your room, the noise can be annoying. There's nothing The Brit can do about this, so I don't fault them for it, but it is something to consider when choosing where to stay.