Is Liam's eye effected?. My beardie had that and it ended up that an anti inflammatory was given. When i opened her mouth you could see string-like mucus on each side of the throat. Almost like a sinus infection.
She lived 9 yrs. I only fed her mustard greens dusted with calcium and superworms. Every once in a while hornworms. I would add liquid calcium in her water bowl also. I tried other vegetables, some fruit and other greens that i learned not to use any more. Their restricted diet is imperative!!! In the wild they do not travel much so they eat the same food constantly.
Its hard to tell from the pic if his eye is infected. If it is, try warm compresses also. This worked for me too. Otherwise, i would suggest looking to see if a roach is caught in his throat. Try massaging downward. The vet told me food caught in throat is common. Especially with roaches and crickets. Thats why i used worms.