Place to sit and kill time in Leeds without spending too much money

My girlfriend started her new job in the city today so I commuted from near Sheffield with her to make sure she was comfortable with the commute and got there ok on her first day. I decided it makes more sense to just wait for her and commute home with her too.

Now I’m in the centre for another 6 hours and want to find somewhere to relax without spending a fortune on coffee and snacks. I’ve got a handheld gaming device that I would love to just sit and play but can’t think of the most suitable place.

Any ideas?