No jailbreak… my recommendation is altstore, but the .ipa has been tested with sideloady by nostr:npub1sk5x080cwgqz5fcpmyleprvl5swc9352g2398hd4k6wr3qdd8ugqwqsr7m
the catch is you need to reconnect to your computer every 7 days to refresh the self sign. (if you have a dev account its 365 days).
both solutions sync and resign on Wi-Fi if your phone is aloud to sync via Wi-Fi.
