debugger: wait for initial pause output after run

[inoway46]

Based on: #64005 (comment)

run / restart could resolve after Runtime.runIfWaitingForDebugger() but before the async Debugger.paused output path printed the initial break ... in ... message.

This updates run / restart to wait for that initial pause output before resolving.

Target flaky tests

• test/parallel/test-debugger-run-after-quit-restart.js
  • https://github.com/nodejs/node/actions/runs/27702868250
• test/parallel/test-debugger-exceptions.js
  • https://github.com/nodejs/node/actions/runs/27882565110
• test/parallel/test-debugger-preserve-breaks.js
  • https://github.com/nodejs/node/actions/runs/27877452595

Testing

./tools/test.py -p actions parallel/test-debugger-run-restart-init parallel/test-debugger-run-after-quit-restart parallel/test-debugger-exceptions parallel/test-debugger-preserve-breaks parallel/test-debugger-restart-message
./tools/test.py -p actions -j1 --repeat 50 parallel/test-debugger-run-after-quit-restart parallel/test-debugger-exceptions

Refs: #64005, #61762

[inoway46]

I noticed #63969 overlaps with this PR and looks like a cleaner direction, so I'll keep this as draft for now.

If #63969 does not end up covering the run / restart cases, I can rework this as a smaller follow-up.

[trivikr]

We just landed #63969. This PR can be rebased and made ready for review.

[inoway46]

@trivikr Thanks! Since the production fix has already landed in #63969, I think it makes sense to close this PR to avoid keeping overlapping implementation changes around.

If we still want additional regression coverage for the run / restart cases, I can open a smaller test-only follow-up PR.