If your water pump fails soon, it won’t be the universal coolant’s fault. I’m surprised you got 350k miles out of the pump.
At the very least, drain, flush, and refill with either Dexcool or universal coolant. Dexcool doesn’t mix well with ethylene glycol-based coolants, which can lead to gelling.
I would highly recommend replacing the rest of your radiator hoses and heater core hoses, since they could also pop soon, and coolant isn’t getting any cheaper.
Optionally, while you have your coolant drained and are replacing hoses, you could replace your water pump, too.
If you can work on your own car, go German. Otherwise, be prepared for higher than average repair bills.
Don’t get anything with a CVT. As a blanket statement, they’re time bombs.