test: wait for reattach before initial break on run

[inoway46]

Follow-up to #62471.

run and restart share the same implementation, so apply the same fix.

CI failed log: https://github.com/nodejs/node/actions/runs/23696220126

Refs: #61762

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 89.71%. Comparing base (cc96741) to head (c05d7ae).
⚠️ Report is 180 commits behind head on main.

Additional details and impacted files

@@ Coverage Diff @@## main #62488 +/- ##
==========================================
- Coverage 91.55% 89.71% -1.85% 
==========================================
Files 351 692 +341 Lines 147653 213986 +66333 Branches 23224 41051 +17827 ==========================================
+ Hits 135179 191968 +56789 - Misses 12217 14090 +1873 - Partials 257 7928 +7671 

see 463 files with indirect coverage changes

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[nodejs-github-bot]

CI: https://ci.nodejs.org/job/node-test-pull-request/72399/

[inoway46]

Superseded by #62807
The previous Debugger attached./prompt sync point turned out to be too weak. Follow-up uses ok as the reconnect completion marker.