Your grow lamps plugs are probably NEMA 5-15 or 5-20 if not hard-wired. NEMA 5-15 or 5-20 are rated for a 15 or 20 amp circuit, but not a 30 amp circuit. If not hard wired, or not NEMA 15 or 20, you'll need to run 2 circuits....absolute minimum is 12 gauge on 20 amp breakers. That will give you 1,920 watts per circuit. The theoretical limit is 2,400 watts (120v x 20 amps), but your grow lights would be considered a "continuous load" and the circuits need to be de-rated 20% getting you to 1,920 watts per circuit. From what others have said here, oddly enough, if hard wired they don't need GFCI protection, but if plug-in, they do! Go figure.
A few other practical considerations: 1) 10 ga is hard to work with, even if stranded, it would be very very difficult to connect to an outlet, if even possible. 2) even a 30 amp circuit, would barely get you to the 2,736 watts you need when properly derated, and that doesn't include the other "occasional" use items. (30 amps x 120= 3,600 watts x 80% = 2,880 watts). A MWBC might be practical here, but they are falling out of favor given GFCI and AFCI requirements. I don't use them any more.
Like another comment said, you might need AC in that room. Or at least serious ventilation. You'll be dumping a lot of heat into that room. If you decide on A/C, that would probably also need it's own circuit. Go big on the conduit, it's cheap so if you have to add stuff later, you'll have the infrastructure to do it.