In the new Review queue, it shows a section for Vote to Close. It gets greyed out when you run out of close votes, but sometimes one can go in and Edit a question so it wouldn't be closed. I propose that the queue gets unlocked, but only for a Do Not Close, Not Sure or Edit vote when the user has run out of votes
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The idea behind rate-limiting here is to prevent someone from just blazing through the whole queue without really putting much thought into what they're doing. If someone's thoughtlessly voting to close, then giving them another button to thoughtlessly click (Do Not Close) isn't a great idea.
Note that editing itself isn't really rate-limited: you can edit as much as you want. And you can edit from the close review queue as much as you want, until you run out of close votes.
If you really want to climb that leaderboard, edit whenever possible. Leave close and do-not-close as a last resort, for questions that cannot be improved.
If you burn through all of your votes before you're sick of editing... Well, it's really not hard to find questions to edit.