[Structured Logs]: Expose Public API

[denrase]

📜 Description

• Renamed old SentryLogger to SdkLog
• Renamed old options.logger to options.log

💡 Motivation and Context

Closes #2924

💚 How did you test it?

Unit tests, example app

📝 Checklist

• I reviewed submitted code
• I added tests to verify changes
• No new PII added or SDK only sends newly added PII if sendDefaultPii is enabled
• I updated the docs if needed
• All tests passing
• No breaking changes

🔮 Next steps

@buenaflor I'm only seeing logs when they are sent through the web version (JS). I'm assuming the native SDKs are missing envelope header info, as they can't parse what they don't know.

[github-actions]

🚨 Detected changes in high risk code 🚨

High-risk code has higher potential to break the SDK and may be hard to test. To prevent severe bugs, apply the rollout process for releasing such changes and be extra careful when changing and reviewing these files:

• flutter/lib/src/integrations/native_app_start_integration.dart
• flutter/lib/src/native/java/android_replay_recorder.dart
• flutter/lib/src/screenshot/recorder.dart
• flutter/lib/src/screenshot/widget_filter.dart

[codecov]

Codecov Report

Attention: Patch coverage is 61.05263% with 74 lines in your changes missing coverage. Please review.

Project coverage is 87.60%. Comparing base (2b265e7) to head (27af589).

Files with missing lines	Patch %	Lines
dart/lib/src/hub.dart	13.88%	31 Missing ⚠️
dart/lib/src/sentry_logger.dart	83.33%	3 Missing ⚠️
flutter/lib/src/sentry_flutter.dart	25.00%	3 Missing ⚠️
dart/lib/src/hub_adapter.dart	0.00%	2 Missing ⚠️
...rt/lib/src/load_dart_debug_images_integration.dart	33.33%	2 Missing ⚠️
dart/lib/src/sentry.dart	66.66%	2 Missing ⚠️
dart/lib/src/sentry_baggage.dart	66.66%	2 Missing ⚠️
...r/lib/src/native/java/android_replay_recorder.dart	0.00%	2 Missing ⚠️
.../lib/src/navigation/sentry_navigator_observer.dart	0.00%	2 Missing ⚠️
flutter/lib/src/replay/scheduled_recorder.dart	60.00%	2 Missing ⚠️
... and 21 more

Additional details and impacted files

@@              Coverage Diff              @@
##           feat/logs    #2940      +/-   ##
=============================================
- Coverage      87.72%   87.60%   -0.13%     
=============================================
  Files            277      278       +1     
  Lines           9133     9162      +29     
=============================================
+ Hits            8012     8026      +14     
- Misses          1121     1136      +15     

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[buenaflor]

I'll have a closer look tomorrow