Beach access should not be an issue because there are several for that area. Private beach access IS the issue. There are several public beach accesses in that area, although I know of one which is still closed from storm damage.
If the developers had left out the word "private" when describing beach access, there would not be a problem for the developers. However, there would still be the problem of many more users being dumped onto the beach in that area.
The ability to access the beach is not the issue. The issue is the promised private access on the specific lot east of 83, referenced by legal description and the attached survey in the contract. If this is not provided, the seller is in breach of contract.
Is there an echo in here?