Hi, @pynchon!
That's a really interesting question. I've even talked to Manychat's support team about that and for Broadcasts, if the account funds are all spent, it will stop sending messages and won't resume once you add more funds.
Extra tip: I always add an Action step with a tag for every broadcast. If something goes crazy, I can filter those that already got the message and continue with a new broadcast! 😉
Thank you @Fabio Gaulke!