I don’t put up with trap questions any more. If a woman is asking to have her ego stroked, I’ll either do it in a very obvious way, or I’ll just tell her what I think, and if she has insecurities, she’ll have to deal with them on her own.
You can not ask for a compliment, no matter how indirectly. You are still asking and that means you can’t get a real compliment. And if you do accept a compliment you asked for as real, then you have far more problems than I can help you with now.
Unless a compliment is given voluntarily, without having been asked for, it is worthless. I hate that game. Especially with women. If you are insecure because of what I might think about the looks of one of your friends, then we have much more serious problems than some little white lie can take care of.