Ownership of the condos are public record. I would mail all owners and tell them you are interested in purchasing an additional parking spot. If you receive responses, then you will know what spots are available.
The Association may have a good reason for not disclosing the specific assignments. You could ask for them to identify the units that have more than one space or if there is space that you do want, find out the connected unit. If the Association still resists, your best and most efficient option is find another way to get the information. You can post a notice on the community bulletin board or mail letters to each of the unit owners
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