Removing non-deterministic check from processes_lifecycle_test.rb

[p-schlickmann]

#663 helped me quickly identify another source of flakiness from processes_lifecycle_test.rb.

The combination of logs + GPT 5 is really powerful!

Run: https://github.com/p-schlickmann/solid_queue/actions/runs/18749897031/job/53486391931
Logs: https://github.com/p-schlickmann/solid_queue/actions/runs/18749897031/artifacts/4352196774

This test assumed that the background worker crash would leave both exit_job and pause_job in the :claimed state. In reality, this state is non-deterministic because the supervisor may detect the worker's death and fail the :claimed jobs before the assertion runs.

The test was updated to assert only the final, deterministic :failed state instead of relying on the transient :claimed state.

Another option to make it 100% deterministic would be pausing the supervisor before that check somehow, and than resume it right after. But I don't think that's a good idea.

Thoughts?