If he has only eaten those 5 pellets back on 7/19, then not good
Agree no purposeful adds of fireworms - that's the funniest suggestion ever!
Are you Tom's River NJ? If so google shows more than just Petco in your area... Call everyone within an hour or so drive and see what they have; some pet (dog focused) places I'd never normally go turned out to have [edit: live] brine and wider frozen food assortment than my usual LFSs. Keep tempting him with food multiple times a day. This can be why its better to do in a QT environment so excess food isn't impacting your DT parameters, but maybe that ship has already sailed for this fish. Next fish, get a 5g Petco square setup so you can more easily cleanup uneaten foods. When I'm not using my QT, it stores under my desk.
If you are committed to saving this fish, keep trying to tempt with foods multiple times a day. Go to seafood market, get 2-5 small live clams or similar, bring home, smash with hammer so wrasse can get into shell and put in tank for few hours, then remove left overs. Everyone has live food, just have to think outside box... might have something else at your local seafood market; an Asian seafood market here has interesting additional things I've tried. AlgaeBarn does online pod and/or nano brine shipments; I have some enroute to me right now. Eastern Aquatics ships live black worms; I have a pound coming overnight arriving this morning, now that my new fish is eating those (still not eating what I watched it eat at LFS early July

... yes these black worms first shipment cost me as much as my fish... and I may be paying this out monthly

until I can get it eating something more convenient to me (thawed anything)). Those tig pods you had on order 7/19 might be what has helped him hang on, but a single jar isn't enough as sole food source
Frozen fish eggs are tempting to many fish once thawed. Even if your Petco doesn't have those as a sole content pack, it might be in a multi-pack.
Once you get this fish eating and fattened back up, then you can work on transitioning it to foods YOU want it to eat (pellets, seems like) instead of it wanting to eat only what it knew in nature (no pellets in nature).
Good luck... he's held on this long, he wants to live... wrasse is lucky to have you watching out for him. I am sending positive energy your way