Maybe a bit less than Disco or SNW, probably not by much and still significantly more than a typical half hour sitcom.
Things that will likely contribute to a higher cost:
-There will likely be at least one alien character in the main cast requiring make-up and prosthetics.
-Since these characters likely aren't Starfleet officers, they'll need new costumes done in civilian clothing. Being in the future and on a different planet makes it less likely they'll be wearing "off the rack" contemporary clothing, necessitating new costumes.
-New props, since again, it's not Starfleet, you can't just use phasers or tricorders that were left over from Picard.
-Since it's the future they won't be able to include product placement deals to bring the costs down like most shows do. Granted this problem impacts Star Trek as a whole.