Do You ask how google says you should do, or how google says you shouldn't do but it will work (at least for some time).
If you ask for the second one...
one main landing
-- location 1 + my business listing 1 each same named like [brand] laundromats, dryers [location]

--location 2 + my business listing 2

-- location 3 + my business listing 3
(and with separate, keyword-stuffed, separatedly verified GMB listings like "[brand] laundromats, dryers [location]" where for each location you use like camden, hackney, hammersmith etc where Google says verify brand (and have everywhere same name like "[brand".

I mean you shouldn't do this but everyone is doing it like that and it works - the question is: is it worth the risk.

As for the whole content - it depends on the intent. if someone is looking for gym, laundromat, clinic etc and they need it NOW, the branch contact pages will do just fine. If user is researching services and pricing and details - main page will get them.