Clean up handling of debug/structured logger

[solnic]

Follow-up after #2690

#skip-changelog

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 97.30%. Comparing base (ec50db4) to head (29310a4).
⚠️ Report is 1 commits behind head on master.

Additional details and impacted files

@@            Coverage Diff             @@
##           master    #2692      +/-   ##
==========================================
+ Coverage   97.25%   97.30%   +0.05%     
==========================================
  Files         144      144              
  Lines        5642     5645       +3     
==========================================
+ Hits         5487     5493       +6     
+ Misses        155      152       -3     

Components	Coverage Δ
sentry-ruby	97.77% <100.00%> (+0.07%)	⬆️
sentry-rails	95.60% <ø> (-0.11%)	⬇️
sentry-sidekiq	96.57% <ø> (ø)
sentry-resque	94.44% <ø> (ø)
sentry-delayed_job	94.68% <ø> (ø)
sentry-opentelemetry	99.31% <ø> (+0.68%)	⬆️

Files with missing lines	Coverage Δ
sentry-ruby/lib/sentry-ruby.rb	98.73% <100.00%> (-0.01%)	⬇️
sentry-ruby/lib/sentry/configuration.rb	98.40% <100.00%> (+0.97%)	⬆️
sentry-ruby/lib/sentry/debug_structured_logger.rb	100.00% <100.00%> (ø)

... and 2 files with indirect coverage changes

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[solnic]

@sl0thentr0py force-pushed because I rebuilt it after all, looks nice and clean :)