I don’t have a researched answer, but the reason breastfeeding women can still drink is because breast milk also shares the blood alcohol level so when Mom is too drunk to drive, baby is drinking alcoholic milk with a percentage ~0.08%; for reference non alcoholic beer can be up to 0.5% and alcoholic beer is generally anywhere between 2.5-10%.

All that to say that idk anything about mosquito physiology but with arbitrary assumptions of roughly equal alcohol tolerances between humans and mosquitos, and with a human blood alcohol limit of ~0.4% before the human dies of alcohol, those mosquitoes are sipping on nonalcoholic beer no matter how drunk you get. Unless they have abnormally low tolerance, and a quick Google search doesn’t suggest they do, humans can’t raise their blood alcohol enough to impair mosquitos.