feat(flutter): docs for setting up flutter web for chrome extensions

[buenaflor]

DESCRIBE YOUR PR

This PR adds a new guide for setting up the Sentry Flutter SDK with Flutter Web applications deployed as Chrome Extensions.

Due to Chrome's Content Security Policy (CSP) restrictions, dynamically loaded scripts are not allowed. This guide explains how to set up the SDK in that scenario

Closes getsentry/sentry-dart#3072

[vercel]

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Name	Status	Preview	Comments	Updated (UTC)
sentry-docs	✅ Ready (Inspect)	Visit Preview	💬 Add feedback	Jul 31, 2025 9:58pm

1 Skipped Deployment

Name	Status	Preview	Comments	Updated (UTC)
develop-docs	⬜️ Ignored (Inspect)	Visit Preview		Jul 31, 2025 9:58pm

[codecov]

Bundle Report

Changes will increase total bundle size by 957 bytes (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	12.34MB	963 bytes (0.01%) ⬆️

Affected Assets, Files, and Routes:

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	882.81kB	-0.0%
static/chunks/8321-*.js	-3 bytes	425.87kB	-0.0%
static/kKtDjdnvGd3XfZVsMN4Tn/_buildManifest.js (New)	684 bytes	684 bytes	100.0% 🚀
static/kKtDjdnvGd3XfZVsMN4Tn/_ssgManifest.js (New)	77 bytes	77 bytes	100.0% 🚀
static/7aLVhPot6tGeFhC7SbbJ2/_buildManifest.js (Deleted)	-684 bytes	0 bytes	-100.0% 🗑️
static/7aLVhPot6tGeFhC7SbbJ2/_ssgManifest.js (Deleted)	-77 bytes	0 bytes	-100.0% 🗑️

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	324 bytes	732.96kB	0.04%
../app/platform-redirect/page.js.nft.json	324 bytes	732.88kB	0.04%
../app/sitemap.xml/route.js.nft.json	324 bytes	730.35kB	0.04%

[coolguyzone]

Left a couple of comments, let me know what you think 🤙

[buenaflor]

@coolguyzone forgot about this one, can you have another look pls

[coolguyzone]

Looks good!