A standard TOTP QR code can be used on multiple devices or saved and printed (and stored in a safe or something). There is no expiration date encoded in the QR; it is simply the shared secret for the TOTP app to use and some extra metadata like labels. See https://www.rfc-editor.org/rfc/rfc6238
It is a good idea to enroll multiple devices as a backup against failure, or to store it somewhere safe.