You'll get a Multi Experience Pass, which is basically an anytime LL for that ride and a bunch of other rides in the park (including a few that aren't LL selections usually). So you can choose to use it on that ride if/when it comes back up, or you can use it on one of the other eligible rides. (Haunted Mansion broke down twice on Saturday when I had LLs for it, so I ended up with 2 Multi Experience Passes and was still able to book a LL for Haunted Mansion when it came back up later.)
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