Are ants bad for my bearded dragon?

Spring Is around the corner, and that means the ants in my house will be coming and some already are. I recently found them attacking my crickets and I was wondering if they were to get into his tank and he might accidentally eat them, would this hazardous to his health? Oh and the tYpe of ants are Black Carpenter ants. (Your normal ,harmless but really annoying ants.)