Is it permissible to adopt "Al-Bayt Al-Ma'mur" (The Much-Frequented House) as a logo for an architectural studies firm, following the example of Al-Bayt Al-Ma'mur mentioned in Surat At-Tur?

The basic principle concerning naming is permissibility, as long as the name does not include a Sharia-forbidden element. There is nothing to prevent naming an office "Al-Bait Al-Ma'mur" (the Frequented House), especially if the intention is to deter suspicious individuals and bribe-takers, while emphasizing the necessity of adhering to Islamic dealings and seeking what is lawful, and not demeaning this name in what is not permissible by Sharia.