I've had this exact same experience, the emails are fake but its pretty hard to tell if you aren't savvy. I've also had an anti-scam where someone legit sent me

I've had this exact same experience, the emails are fake but its pretty hard to tell if you aren't savvy. I've also had an anti-scam where someone legit sent me $200 saying it was a mistake and it was for someone else (I have a common seeming email address) and they needed it back because it was for their grandmothers funeral. I said that this sounds like a scam and to contact me in a month to make sure the transfer isn't reversed. I never heard from them again but the $200 stayed in my account.