We measure the surface area of the model first because subsequent steps require adding surface area to the mesh.
However, if there are holes in the coral itself you can fill these holes to approximate the missing surface area of the coral.
a) Filters > Remeshing, Simplification, and Reconstruction > Close Holes.
b) Set the "Max size to be closed" to increasingly larger sizes in increments of 50 until the hole(s) is closed.
c) Uncheck all boxes below "Max size to be closed" and click apply
Be careful here, setting the value too high can add surface area to the mesh that is not necessarily part of the coral (e.g. along the bottom of the model). If this happens, the surface area will be overestimated.