baby allergic to cats

Has anyone had a newborn that's allergic to cats? My oldest isn't but my little guy, whom will be 2 weeks tomorrow, has the sneezes, red watery eyes, and sounds like his little nose is irritated. I thought it was from scratching his face (he's really good at escaping his scratch mits and socks on his hands lol) so I filed his nails down a bit and he has a sleeper in with the hand cuffs and he's been sneezing pretty much since he woke up 🤔 we have 2 cats 😭