By definition an email server is not under your control, so the question of whether or not it runs FOSS is a bit moot and in any case impossible to verify.
In terms of privacy-respecting email hosting, Proton, Posteo, and Mailbox all spring to mind.
OK. I suppose this is the correct answer.
Unless I’m missing something, here we will disagree. Secure or not, FOSS principle-respecting or not, if I’m choosing to install software by X then I’m going to get it straight from X and not involve third-party Y too.