chore(debugging): ensure correct log probe configuration handling

[P403n1x87]

This change ensures that the RCM adapter for dynamic instrumentation can parse the payload attributes correctly.

Checklist

• Change(s) are motivated and described in the PR description.
• Testing strategy is described if automated tests are not included in the PR.
• Risk is outlined (performance impact, potential for breakage, maintainability, etc).
• Change is maintainable (easy to change, telemetry, documentation).
• Library release note guidelines are followed.
• Documentation is included (in-code, generated user docs, public corp docs).
• Author is aware of the performance implications of this PR as reported in the benchmarks PR comment.

Reviewer Checklist

• Title is accurate.
• No unnecessary changes are introduced.
• Description motivates each change.
• Avoids breaking API changes unless absolutely necessary.
• Testing strategy adequately addresses listed risk(s).
• Change is maintainable (easy to change, telemetry, documentation).
• Release note makes sense to a user of the library.
• Reviewer is aware of, and discussed the performance implications of this PR as reported in the benchmarks PR comment.

[shatzi]

Looks good. nice refactoring

[codecov-commenter]

Codecov Report

Merging #5143 (aaeabe2) into 1.x (6302bed) will increase coverage by 0.01%.
The diff coverage is 100.00%.

@@            Coverage Diff             @@
##              1.x    #5143      +/-   ##
==========================================
+ Coverage   76.50%   76.52%   +0.01%     
==========================================
  Files         863      863              
  Lines       66372    66382      +10     
==========================================
+ Hits        50781    50801      +20     
+ Misses      15591    15581      -10     

Impacted Files	Coverage Δ
ddtrace/debugging/_probe/model.py	97.82% <100.00%> (+0.04%)	⬆️
ddtrace/debugging/_probe/remoteconfig.py	91.66% <100.00%> (+8.95%)	⬆️
tests/debugging/probe/test_remoteconfig.py	97.87% <100.00%> (+0.19%)	⬆️
ddtrace/internal/telemetry/writer.py	38.02% <0.00%> (-1.41%)	⬇️

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