The wheel isn’t “worn out” but it is damaged. I suspect that the wheel wasn’t prepared properly on set up and all the spokes have suffered damage. Breaking one spoke isn’t that bad but breaking 2 over such a short period of time is worrisome.

Wheels should be checked for tension when they are prepared by a shop prior to sale. Few are. I see 40 year old wheels at my co-op that have loose spokes from the factory. You haven’t told us how old the bike is but this may be a warranty issue if the wheel is less than a year old. Check with the shop if you continue to break spokes. If it isn’t covered under warranty, look into a new wheel. This one is well on the way to being a constant problem.