How exactly were the Nomai supposed to survive the [redacted]

**the supernova required for the ATP

as far as I understand:

• by firing the probe cannon in a random direction it had a slim chance to hit the eye
• they could use negative time intervals to send that information back in time
• the probe would need 22 minutes to reach the edge of the solar system
• they needed the energy of a supernova to send the info 22 minutes back
• if they set it up correctly the law of causality would mean they could recieve the coordinates without ever firing a probe

but wouldn't that break the law of causality? our hatchling jumping through the ATP black hole breaks it why wouldn't the nomai not firing the sun station break it?

why did they even dry fire the sun station? wouldn't they know it wouldn't work 22 minutes before they set it off? there isnt any nomai craft able to survive a supernova apart from the ATP were they seriously dooming themselves to a painful death millions of times

on a side note why does the hatchling wake up at the campfire and not near the statue? is it linked to their consciousness rather than the statue?