That’s way more complicated than it needs to be.
Japanese teahouses are just as common as Chinese if not more so. Coffee houses are probably too modern and were also a huge deal in Europe. They’re more of a classy establishment so hiring mercenaries there is a bit odd.
Really all you need is a Teahouse and Caravanserai. Teahouses work for all the East Asian civs and Caravanserais work for any Islamic or Indian civs.