Ok tyI started offering my girl various items like cooked egg and chicken hearts/liver pretty soon after I got her when she was a month and a half old. At that young she wouldn't really touch vegetables but I got her to occassionally eat bits of grapes. I would try giving her whole prey or meat options as soon as they are large enough to eat them. Insects are a large staple of a baby tegus diet, but their diet should not consist of only dusted insects, it should be more varied for their health
TyEven though the breeder I got my tegu from definitely offered insects for the two months prior to our guy being delivered, he never ate one again since that day. I have offered a very varied diet from day one, and vegetables have always been a part of that mixed food. Nowadays I make literally rolls of meat and fruit and what not wrapped with a moistened piece/leaf of greens like collard and he eats it like a little lumpia.
In place of live insects I always mix in a little blue tongue gel mix I keep in the fridge as well as some dried crickets I have in a bearded dragon mix. They're a solid source of protein but I've never been a fan of the live insect thing in terms of taking them on as a second type of creature to feed, support and keep alive. It's good you're cooking your eggs, too, and you can find information on this forum why that is important. Never stop learning. Have fun, and good luck.