Love this, it’s clean and fun and classic with a great archaeological/cosmic horror flavor! The tangible link between the past and future punches this up quite aways! I also really like the obelisk dice concept and would have a blast ominously stacking dice as my players demand to know what I'm up to!
I think my main pain point would be 1) Obelisk might be too tanky. Unless the crew finds the broken gadgets, there's not much they can roll on their loadouts that'll do the trick. I'd consider adding a couple Anti Armor weapons around (potential the Ancestral Sword?) to give them a fighting chance. 2) The rooms have fun lore and flavor but there's not a lot to keep PCs in each room for long. I'd recommend some traps, puzzles, or smaller encounters to break things up a bit before things really pop off.
All told though, super solveable problems and worst-case you just get to the star presence faster which isn't a bad thing. Really really keen on this one! Excellent work!