chore: fix flakey log stream integration test (#9279)
### Description
I've noticed this integration test has been flakey lately:
-
https://github.com/vercel/turborepo/actions/runs/11387765428/job/31683165527
-
https://github.com/vercel/turborepo/actions/runs/11386983833/job/31680539914
-
https://github.com/vercel/turborepo/actions/runs/11356438462/job/31587646091
Partially reverts changes from #9236 for the cases that I've seen fail.
I don't remember this test being flakey before, so I'm changing it back.
I'm assuming we're now capturing [some
lines](https://github.com/vercel/turborepo/blob/ef2dc90030c6103393d42bdd5fb7f3584f1466a8/turborepo-tests/integration/tests/run-logging/log-order-stream.t#L47)
that aren't deterministic in ordering.
### Testing Instructions
Ran the test a few times and didn't get any failures. Hopefully CI is
green.
