When you go to get the mower tires, look at several before you buy, because you want a pair that has the rounded edge on the sidewall. Any type with a straight sharp edge will hook up to much.
If the straight edge is all you can find, you'll need to do something about rounding off the sharp edge to keep that corner from biting so hard.
Check on e bay & you can get some idea of the tires out there.
Neil