Given that the "percentage of stars with planets" part of the Drake equation has recently been determined to be close to 100%, Panspermia is starting to feel more and more likely.
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On the other, the early universe — this particular "warm bath" era — had approximately zero oxygen with which to make water. Right temperature, just (IIRC, but I'm not certain) zero stars yet, so nothing to make things heavier than what came out of Big Bang nucleosynthesis.