Fix wrong SDK being reported when sentry_logging is used

[kuhnroyal]

📜 Description

Fixes #717

💡 Motivation and Context

💚 How did you test it?

I checked the Sentry UI, the package doesn't seem to be reported anywhere tho.

📝 Checklist

• I reviewed submitted code
• I added tests to verify changes
• I updated the docs if needed
• All tests passing
• No breaking changes

🔮 Next steps

[codecov-commenter]

Codecov Report

Merging #725 (8191569) into main (17894ef) will decrease coverage by 1.60%.
The diff coverage is 100.00%.

@@            Coverage Diff             @@
##             main     #725      +/-   ##
==========================================
- Coverage   92.30%   90.70%   -1.61%     
==========================================
  Files          17      104      +87     
  Lines         520     3335    +2815     
==========================================
+ Hits          480     3025    +2545     
- Misses         40      310     +270     

Impacted Files	Coverage Δ
logging/lib/src/logging_integration.dart	90.90% <100.00%> (-1.95%)	⬇️
dart/lib/src/sentry_envelope_item.dart	97.77% <0.00%> (ø)
dart/lib/src/protocol/sdk_version.dart	100.00% <0.00%> (ø)
dart/lib/src/transport/rate_limiter.dart	87.80% <0.00%> (ø)
dart/lib/src/protocol/sentry_request.dart	98.03% <0.00%> (ø)
dart/lib/src/protocol/debug_image.dart	100.00% <0.00%> (ø)
dart/lib/src/protocol/sentry_event.dart	100.00% <0.00%> (ø)
dart/lib/src/protocol/breadcrumb.dart	100.00% <0.00%> (ø)
dart/lib/src/sentry_client.dart	94.17% <0.00%> (ø)
dart/lib/src/sentry_sampling_context.dart	100.00% <0.00%> (ø)
... and 78 more

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[marandaneto]

thanks @kuhnroyal

[brustolin]

LGTM

[marandaneto]

@kuhnroyal package-analysis counted -10 points using pana, mind checking it out?

[kuhnroyal]

@marandaneto Seems unrelated:

### [~] 20/30 points: code has no errors, warnings, lints, or formatting issues\n\n<details>\n<summary>\nINFO: Prefer typing uninitialized variables and fields.\n</summary>\n\n`lib/src/sentry_exception_factory.dart:19:9`\n\n```\n   ╷\n19 │     var mechanism;\n   │         ^^^^^^^^^\n   ╵\n```\n\nTo reproduce make sure you are using the [lints_core](pub.dev/packages/lints) and run `dart analyze lib/src/sentry_exception_factory.dart`\n</details>

[marandaneto]

sentry_exception_factory

Thanks, dart package still uses pedantic, but this one is related to the lints package.
Time to address #507 :D