feat: sentry web api

[buenaflor]

Description

Allows type safe API access to underlying JS SDK

In this PR only init is implemented

💡 Motivation and Context

PR #2 of JS SDK Integration

💚 How did you test it?

Unit test, Integration Test, Manual Test

📝 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

Sending envelope

#skip-changelog

[github-actions]

	Messages
📖	Do not forget to update Sentry-docs with your feature once the pull request gets approved.

Generated by 🚫 dangerJS against fe035aa

[codecov]

Codecov Report

Attention: Patch coverage is 40.54054% with 22 lines in your changes missing coverage. Please review.

Project coverage is 86.57%. Comparing base (be08651) to head (fe035aa).
Report is 47 commits behind head on feat/js-sdk-integration.

Files with missing lines	Patch %	Lines
...ib/src/web/script_loader/sentry_script_loader.dart	0.00%	8 Missing ⚠️
dart/lib/src/platform_checker.dart	0.00%	7 Missing ⚠️
...tter/lib/src/integrations/web_sdk_integration.dart	0.00%	4 Missing ⚠️
flutter/lib/src/sentry_flutter.dart	86.66%	2 Missing ⚠️
...lib/src/web/script_loader/noop_script_dom_api.dart	0.00%	1 Missing ⚠️

Additional details and impacted files

@@                     Coverage Diff                      @@
##           feat/js-sdk-integration    #2489       +/-   ##
============================================================
+ Coverage                    70.98%   86.57%   +15.59%     
============================================================
  Files                           17      267      +250     
  Lines                          579     9426     +8847     
============================================================
+ Hits                           411     8161     +7750     
- Misses                         168     1265     +1097     

☔ View full report in Codecov by Sentry.
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[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/screenshot/recorder.dart
• flutter/lib/src/screenshot/widget_filter.dart