Not quite sure why there is a permission error. Did it use to work at some point?
You can possibly try to manually give access to the
geomtool_mac binary (for example using chmod +x) (it should be located in the "App Data"/bin/ folder indicated in "System Info..." of the "Help" menu), something like:
chmod +x ~/Documents/MATLAB/Add-Ons/Apps/FEAToolMultiphysics/bin/geomtool_mac
Possibly also try to add a security exception to the binary as described here:
https://support.apple.com/guide/mac-help/open-a-mac-app-from-an-unidentified-developer-mh40616/machttps://featool.com/doc/quickstart#install_standalone_mac