So open your maps and zoom in on the “middle area” and see what around. Cafes, a mall, museum, zoo, just go to a mall have brunch scroll around and window shop. Have a look at what mall is in the area. Playcentre is great too. I’ve met at all those depending on where and at what time (some I met at night only no kids) my first was met at ikea the most recent one was kid-free at a Thai restaurant for dinner. Also- ask her.
Maybe there’s a play center in the mall of course there will be other kids too so need to watch your kids closer but may be a place to meet up or google places where you will meet her at and see what’s available to do indoors that won’t cost an arm and a leg.
Coffee shop possibly or maybe a soft play