Then give the weight on the tires and I will calculate a save pressure for that tire, and that is how high you can go without bumping so screws loose from woodwork, or disches and glasses get broken. Then maximum reserve for things like , pressure loss in time, unequall load R/L ( only one side damaged??) incidental extra load, misreadings of pressure-scale , and misyudging of load on tire.
Already found maximum load of 2680 lbs at 80 psi
Also give configuration , so howmany axles and total of tires on the road when driving ( so not the spare).
This damage must be from to much deflection, so I expect you being surprised about the real ( over) load on your tires.