Disclaimer: I am not a professional electrician.
Something else that might work for you is fire alarm cable. I have some short scraps from a fire alarm installation in a commercial building: 16 gauge, solid, 4 conductor + shield and drain wire, "type FPLP". It doesn't say CL2 on the jacket, though. The outer jacket is a touch under 0.25" outside diameter. The Internets tell me this is plenum-rated fire alarm cable; you can probably use non-plenum cable, type FPL, which will be cheaper.
I *think* the key to all of this stuff is that the available power is limited by the power supply or transformer. For regular 120 V wiring, if there is an overload or short, the Romex might temporarily have to handle several thousand watts, without getting hot enough to start a fire, before the circuit breaker in the main panel pops. That's why it has to be relatively thick wire with thick insulation. For low-voltage wiring, the power supply or transformer just isn't going to have the ability to dump that much power into the cable, so you can use thinner wire with thinner insulation and still be OK.
Do the light fixtures already "speak" wired DMX-512? In other words, is there a connection for DMX data on each fixture, as well as +12 V power? If so, you should be able to daisy chain several of them on one cable. Basically, you need three wires for the DMX data (common, positive, negative) and two wires to bring 12 V DC and ground to each fixture. This keeps you from having to bring 64 cables back to some common point. There are some rules about how many fixtures you can put on a single cable, but as I understand it, your "about 64" fixtures mean you can probably run two or three cables and be OK.
If the lights are just "dumb" - they just light up when you apply +12 V, and you want individual control, then yeah, you'll have to run one cable to each fixture from some common location.
Good call on looking for a good power supply. Digi-Key and Mouser sell legit ones (CUI, TDK, Condor/Ault) with non-fake UL listings, starting around $70 for 12 V, 120 W. They are like laptop power supplies... a brick with a 120 V socket on one end and a 12 V cable on the other.
Another suggestion: even though it's low voltage, don't "bury" the splices inside the wall or ceiling. I think you don't technically *need* junction boxes, like you do for 120 V and up, but if you put a splice behind the drywall, it will fail about 5 minutes after you get done painting the drywall. :) Having the splice to the fixture wires right behind the fixture is OK, as long as you can, in the future, remove the fixture and pull it down far enough to disconnect the splice.
Final suggestion: When wiring this up, think about the future. Apps, and the OSes they run on, have a lifecycle of maybe three years; houses have a lifecycle of 100 years or more. Down the road, you will probably have to change out the "brain" that all these lights are plugged into, in order to get it to talk to iOS 15, or Android 30, or to get rid of the "plz Paypal $100 to hacker -at- example.ru to get your lights back" virus in it. :) Design it so that changing out the brain, or even just running all the lights directly into a dumb 12 V DC power supply is easy to do.
I am not affiliated with any companies mentioned.