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In theory, everyone should get a place as CFA Institute adds new places and slots if they’re all booked up. This is what they will tell you if you ask them this question directly.
In practice, they do do it, but obviously not flawlessly. Candidates do take a small, unavoidable risk the way it has been set up. I would advise you to aggressively search for places and book whatever slots that show up immediately.
Good luck, and let us know how it goes!