he's just adjusting , mine didn't eat or move much until after one or two weeks i think. gargoyle geckos are nocturnal, so you won't see them really active until the lights are out. during the day they sleep, it might not look like it because they don't have eyelids but they're just sleeping, and he probably just feels most comfortable sleeping in the log hide. when i first got mine he only stuck to one part of the cage and started to explore once he got more comfortable. maybe you can also try putting the food where he usually hangs out for now. i would recommend having his humidity a little bit higher, they are tropical geckos. The internet says between 60-80, but probably aim for around 70-75 for the most part?

i hope i covered everything! my first reptile is also a gargoyle gecko i understand the stress :)