chore: Rename integration-tests -> browser-integration-tests

[AbhiPrasad]

Figured let's just do this rename now so that things become much more clear - I know it's confusing for some folks as is.

[lforst]

🙏

[github-actions]

size-limit report 📦

Path	Size
@sentry/browser - ES5 CDN Bundle (gzipped + minified)	20.41 KB (+0.01% 🔺)
@sentry/browser - ES5 CDN Bundle (minified)	63.3 KB (0%)
@sentry/browser - ES6 CDN Bundle (gzipped + minified)	18.99 KB (+0.01% 🔺)
@sentry/browser - ES6 CDN Bundle (minified)	56.21 KB (0%)
@sentry/browser - Webpack (gzipped + minified)	20.65 KB (0%)
@sentry/browser - Webpack (minified)	67.44 KB (0%)
@sentry/react - Webpack (gzipped + minified)	20.68 KB (0%)
@sentry/nextjs Client - Webpack (gzipped + minified)	52.09 KB (0%)
@sentry/browser + @sentry/tracing - ES5 CDN Bundle (gzipped + minified)	33.66 KB (+0.01% 🔺)
@sentry/browser + @sentry/tracing - ES6 CDN Bundle (gzipped + minified)	26 KB (0%)
@sentry/replay ES6 CDN Bundle (gzipped + minified)	43.17 KB (0%)
@sentry/replay - Webpack (gzipped + minified)	37.19 KB (0%)
@sentry/browser + @sentry/tracing + @sentry/replay - ES6 CDN Bundle (gzipped + minified)	61.3 KB (+0.01% 🔺)
@sentry/browser + @sentry/replay - ES6 CDN Bundle (gzipped + minified)	54.39 KB (+0.01% 🔺)

[AbhiPrasad]

I'm gonna merge this in at the end of the day (need to bust cache first).