From Wikipedia: "TLS and SSL are cryptographic protocols that provide communications security over a computer network". Your host is not "the network" and it's expected to be your trusted asset.
If the AV software can't be trusted, that's another issue not addressed by TLS.
No, I don't think so and if it does, please tell me which browser does it so I can keep away from it, because that defeats the purpose of TLS.
AVs generally run with complete permissions, and can do everything up to and including injecting their own code inside your browser's running process. Providing them with an API doesn't weaken the security, it just reduces the chances they'll screw the browser up.
I have bitdefender and I was wondering how I can check if it does it on my pc and mac and how I can disable it (if possible). Could you help me in the right direction?
Open https://www.google.com/ and see what cert you've got.
If it's "bitdefender something" instead of google
then uncheck "Scan SSL" in bitdefender and google how to remove root cert from trusted root cert store assuming former doesn't do it for you.