docs(browser): Delete deprecated profilesSampler

[s1gr1d]

DESCRIBE YOUR PR

Removes all occurrences of profilesSampler in the JS browser SDKs as this API is not available and also deprecated, so we won't implement it.

• Implement profilesSampler for browser SDKs sentry-javascript#16773 (comment)
• [Browser]: Implement new Profiling API spec (UI Profiling) sentry-javascript#17279

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PRE-MERGE CHECKLIST

Make sure you've checked the following before merging your changes:

• Checked Vercel preview for correctness, including links
• PR was reviewed and approved by any necessary SMEs (subject matter experts)
• PR was reviewed and approved by a member of the Sentry docs team

[vercel]

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Name	Status	Preview	Comments	Updated (UTC)
sentry-docs	✅ Ready (Inspect)	Visit Preview	💬 Add feedback	Aug 5, 2025 8:44am

1 Skipped Deployment

Name	Status	Preview	Comments	Updated (UTC)
develop-docs	⬜️ Ignored (Inspect)			Aug 5, 2025 8:44am

[codecov]

Bundle Report

Changes will increase total bundle size by 1.02kB (0.0%) ⬆️. This is within the configured threshold ✅

Detailed changes

Bundle name	Size	Change
sentry-docs-client-array-push	9.85MB	-6 bytes (-0.0%) ⬇️
sentry-docs-server-cjs	12.36MB	1.02kB (0.01%) ⬆️

Affected Assets, Files, and Routes:

view changes for bundle: sentry-docs-server-cjs

Assets Changed:

Asset Name	Size Change	Total Size	Change (%)
1729.js	-3 bytes	1.77MB	-0.0%
../instrumentation.js	-3 bytes	1.1MB	-0.0%
9523.js	-3 bytes	1.08MB	-0.0%
../app/[[...path]]/page.js.nft.json	344 bytes	738.61kB	0.05%
../app/platform-redirect/page.js.nft.json	344 bytes	738.52kB	0.05%
../app/sitemap.xml/route.js.nft.json	344 bytes	736.0kB	0.05%

view changes for bundle: sentry-docs-client-array-push

Assets Changed:

Asset Name	Size Change	Total Size	Change (%)
static/chunks/pages/_app-*.js	-3 bytes	882.71kB	-0.0%
static/chunks/8321-*.js	-3 bytes	425.87kB	-0.0%
server/middleware-*.js	-5.55kB	1.0kB	-84.74%
server/middleware-*.js	5.55kB	6.55kB	555.3% ⚠️
static/I9cZ7dntGw4UrmVvAO_Bo/_buildManifest.js (New)	684 bytes	684 bytes	100.0% 🚀
static/I9cZ7dntGw4UrmVvAO_Bo/_ssgManifest.js (New)	77 bytes	77 bytes	100.0% 🚀
static/tf7AQawwPM76mWSgZf5qC/_buildManifest.js (Deleted)	-684 bytes	0 bytes	-100.0% 🗑️
static/tf7AQawwPM76mWSgZf5qC/_ssgManifest.js (Deleted)	-77 bytes	0 bytes	-100.0% 🗑️

[inventarSarah]

👍