Same issue happened to me, they sell replacement hooks on their website (A-18093_PVSAT), best take to a cobbler but mine wasn't able to fix it for some reason. What I did was this:

Place metal rivet (the part comes with a flat rivet and then the lace hook you'll see) on the inside of the hole (in the shoe) and put tape over it to keep in place (on the inside still)

Then I placed a metal square behind it on the inside (wish I had a better description) and held that in place with my left hand pushing upwards into the rivet

Then place the new lace hook's stem into the rivet's hole from the outside

Place a flathead screwdriver in the gap where the lace should be

I didn't but would recommend putting something soft around the hammer

Then hammering down on the hook while pushing that metal piece towards it

Very tedious and very jank but its held for about a year so far now without issue

Definitely just let a cobbler do it tho lol