The stated long run goal was $2-3m, per Elon Musk, and if you put aside practicalities like limits on how big the market is, and then not having a robust heatshield design yet, it's fundamentally coherent, because of full reuse.
If you're looking for more practical medium term numbers, Gwynne Shotwell suggested around the $50m mark would be an early price goal.
Don't get me wrong, maybe space datacenters can be more efficient after decades of RND and maybe that RND is even worth it, but if you are the company who wants to convince me to give you money to reach that job you should not go like "cooling in space is free", because there is no such thing as free lunch in space engineering.
It is baffling me how much I'm defending this proposal because I don't actually think it's a sensible company but they really really do not do this.
The rest of the paper is a bit more sensible.