I understand this real property tax is not limited to the $10,000 cap
It depends. If it's rental property that is used to produce income (which gets reported on SCH E) or business property used in a business you own (which gets reported on SCH C) then it's reported as the asset it is on the schedule for the type of business property it is, and there's no limit.
However, if it's property that you purchased and do not use to produce active or passive income, that may be subject to the SALT limits then.
