src: fix deadlock in NodePlatform::DrainTasks

[geeksilva97]

Fixes #54918

[joyeecheung]

This looks similar to #61963, but as I explained in #61963 (comment) - unless there's a specific reproducible case this can fix, it's not particularly beneficial to introduce a timeout, and it doesn't address the problem 2) in the FIXME (or is making it worse).

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 89.66%. Comparing base (68d7b6f) to head (ffb2f89).
⚠️ Report is 355 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff             @@
##             main   #62366      +/-   ##
==========================================
- Coverage   89.77%   89.66%   -0.11%     
==========================================
  Files         673      676       +3     
  Lines      203820   206713    +2893     
  Branches    39175    39590     +415     
==========================================
+ Hits       182987   185359    +2372     
- Misses      13152    13492     +340     
- Partials     7681     7862     +181     

Files with missing lines	Coverage Δ
src/node_mutex.h	97.89% <100.00%> (+0.92%)	⬆️
src/node_platform.cc	75.65% <100.00%> (-0.60%)	⬇️
src/node_platform.h	91.66% <ø> (ø)

... and 253 files with indirect coverage changes

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