Piracy: ꜱᴀɪʟ ᴛʜᴇ ʜɪɢʜ ꜱᴇᴀꜱ

I have read some stuff about how if you are logged into like your google account while on your VPN you have pretty much given yourself away.

So first, is that accurate?

I just got a mullvad vpn and am using their browser. Created a new lemmy account. And I shut down my other browsers before connecting to the vpn to be on the safe side. Is that necessary? Anything else I need to do to sail the high seas anonymously and safely. I am looking to start finding all the movies that never seem to be on my many streaming services, but want to be safe about it. Thanks