Ship gets lighter as more fuel is destroyed. Ship gets heavier as it gets closer to light speed.
At 90% of light speed, the ship’s mass would be around 2.3x its rest mass.
I haven’t looked at your calculations in detail, but you seem to be missing that important point!
Even if this was the right move (it isn’t), telling the world they’re about to do it gives people the perfect opportunity to fork/clone the repos and start analysing the code.