Since mfa should actually not be on the same device or at least require different things (password and biometrics) I dont think using the totp of my vault is a great idea, right?
Totally agree with you. NEVER ever have your TOTP inside your password manager, most people overlook this small detail.
One thing you can do is export all your TOTP secretes / QR codes to some cold storage medium, like a flash drive, encrypted in some way and store that safely somewhere. To be fair, even if you don't encrypt that flash drive since it is offline you'll be safer.