A few more suggestions (in addition to the good ones posted so far):
As was said, have the Uber stop for beer - when you get to the stadium make your way to Hammer's Lot and party with the TBD crew! Food, chairs, witty banter, Hammer dropping Hammers, Pinto tailgate and oh so much more...
Eat / Drink:
716 Bar: Fancy, big sports bar in Key Bank Center
Pearl St Brewery: Big following, I've had a few "meh" experiences there, but it's right downtown, soooo...
Lombardo: Maybe 20 minutes from downtown, but one of my favorite restaurants in Buffalo! Great family, food, service and atmosphere
Bar Bill: In East Aurora, some will claim the best wings in Buffalo
Salvatorie's Italian Gardens: Over the top Italian joint near the airport, fully worth it for the old school experience
The Mansard Inn: Hidden gem near the stadium, again, think old school fine dining joint - reminds me of my grandparents restaurants that I grew up in
That's it, a little rando, but a few choice spots!