The only resolution for either scenario I can think of is that there is a very high chance that regardless of what you precommit to do here or otherwise, at the moment of decision, be compelled to choose to 1-box, or be unable to pull out.
But aside from that improbable outcome, these, along with transparent Newcomb, are nonsense; they’re intractable. I can simply precommit to use the strategy that contradicts what Prometheus/Omega/Azathoth predicted, a la halting problem.
And because of the three, Azathoth is the one that most nearly exists, I am actually very likely to have children. An overwhelming majority of men actually do highly value sleeping with many women; the only reason this doesn’t result in massive uncontrollable pregnancy is because Azathoth, being the slow thinker he is, hasn’t had time to adjust for birth control. Plus I can’t think of an outcome Azathoth would prefer to us creating AGI and proliferating across the universe.