Ibuprophen can cause kidney damage and is not recommended.

Dogs seem to be very sensitive to aspirin irritation of the stomach lining. Even bufferin has been known to cause instant nausea when given with food. Probably giving Rantidine (75 mg) 2X daily and at least 20 minutes before aspirin would solve the tummy problem. Assumption being puppy is at least 40 lbs in weight.

It will be important to get puppy examined. A large breed puppy can get some serious injuries in squash play, that may need attention.