You'll finish the first leg, bind off, and then cut the yarn. Then you do do the second leg. Have you made a sweater? This is like working a sweater front and you could work them at the same time if you wanted.
Cheating is an option. . . . Cheaters never win and winners never cheat, but smart knitters who want to retain an iota of sanity do, cheerfully. ~~Kory Stamper