feat(integrations): Mark errors caught from HttpClient and CaptureConsole integrations as unhandled

[Lms24]

This PR is part of a series of PRs adjusting the exception mechanism's handled value.

For more details see #8890

Changed Instrumentation

This PR addresses the mechanisms set in the integrations package, more concretely in the

• HttpClient
• CaptureConsole

integrations.

ref #6073

[github-actions]

size-limit report 📦

Path	Size
@sentry/browser (incl. Tracing, Replay) - Webpack (gzipped)	75.32 KB (-0.01% 🔽)
@sentry/browser (incl. Tracing) - Webpack (gzipped)	31.21 KB (-0.01% 🔽)
@sentry/browser - Webpack (gzipped)	21.83 KB (-0.01% 🔽)
@sentry/browser (incl. Tracing, Replay) - ES6 CDN Bundle (gzipped)	69.84 KB (-0.01% 🔽)
@sentry/browser (incl. Tracing) - ES6 CDN Bundle (gzipped)	28.16 KB (-0.02% 🔽)
@sentry/browser - ES6 CDN Bundle (gzipped)	20.15 KB (-0.01% 🔽)
@sentry/browser (incl. Tracing, Replay) - ES6 CDN Bundle (minified & uncompressed)	220.72 KB (0%)
@sentry/browser (incl. Tracing) - ES6 CDN Bundle (minified & uncompressed)	85 KB (0%)
@sentry/browser - ES6 CDN Bundle (minified & uncompressed)	59.71 KB (0%)
@sentry/browser (incl. Tracing) - ES5 CDN Bundle (gzipped)	31.06 KB (-0.01% 🔽)
@sentry/react (incl. Tracing, Replay) - Webpack (gzipped)	75.34 KB (-0.01% 🔽)
@sentry/react - Webpack (gzipped)	21.86 KB (-0.01% 🔽)
@sentry/nextjs Client (incl. Tracing, Replay) - Webpack (gzipped)	93.2 KB (-0.01% 🔽)
@sentry/nextjs Client - Webpack (gzipped)	50.78 KB (-0.01% 🔽)

[Lms24]

back to draft, seems like some other integrations are missing

UPDATE: Added CaptureConsole adjustments

[sebammon]

@Lms24 once your series of PRs are complete with the changes, it would be great to update the documentation for Sentry - it took me a while to find the reason why the CaptureConsole integration was setting the error as unhandled. I could look into contributing, but I am not too sure of all the areas where these changes where made.