From the pic on the website here:
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It looks like they're looking at Four rockets per mission. (possibly more)
It's blurry, but I think I can make out the names.
An Atlas V launches, with the "LTV", (Lunar Transfer Vehicle?), and somehow the LTV is refuelled in orbit.
A Falcon launches, carrying the Lander.
The LTV and Lander rendezvous in Earth Orbit, and transfer to the Moon, leaving the lander in orbit of the Moon.
A 2nd Atlas V launches, with a 2nd LTV, and the LTV is refuelled in orbit again.
A 2nd Falcon launches, carrying the crew vehicle.
Crew vehicle and LTV rendezvous in Earth Orbit, transfer to the Moon.
The Lander and Crew vehicle rendezvous in Lunar orbit, the lander goes down to the surface, comes back up, rendezvous with the Crew vehicle again, and the Crew Vehicle transfers back to Earth, and the crew capsule seperates, splashes down and is recovered.
4+ launches for that first mission. (unclear on how the LTVs are refuelled).
Not sure on how much of that could be re-used. If the Lander descends and ascends complete, then it would just need refuelled in Lunar orbit again, wouldn't it ? The LTVs appear to be discarded, as is much of the crew vehicle.
4 launches, 6 craft rendezvous, 1 recovery, looks like a lot more potential for delays and problems, solar flares and whatnots.
Possibly also spacejunk proliferation too, depending on where those LTVs and other bits go, the LTVs look like being discarded in Lunar space.