combined cafe; multipurpose cafe
A cafe that offers multiple services such as internet access, manga reading, drinks, and sometimes showers or nap rooms. Often used as a catch-all term for establishments like internet cafes and manga cafes that provide more than just coffee.
See also: ネットカフェ · 漫画喫茶 (マンガきっさ)
I missed the last train, so I spent the night at a combined cafe.
あの複合カフェは漫画も読めるし、ネットも使える。
At that combined cafe you can read manga and use the internet.
Compound of 複合 (combined, composite) and カフェ (cafe). The term emerged with the rise of establishments offering multiple leisure services under one roof.