fix: All Sentry.feedbackIntegration examples include the Sentry.init() statement for clarity

[ryan953]

These examples were really confusing. I think we wrote them assuming that people would first read the 'default' setup steps, then come here to tweak that afterwards. I think each example should stand alone though, so people don't have to read everything in order to just copy+paste and get going.

Fixes getsentry/sentry-javascript#15977

[vercel]

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Name	Status	Preview	Comments	Updated (UTC)
sentry-docs	✅ Ready (Inspect)	Visit Preview	💬 Add feedback	Apr 4, 2025 11:21pm

2 Skipped Deployments

Name	Status	Preview	Comments	Updated (UTC)
changelog	⬜️ Ignored (Inspect)	Visit Preview		Apr 4, 2025 11:21pm
develop-docs	⬜️ Ignored (Inspect)	Visit Preview		Apr 4, 2025 11:21pm

[codecov]

Bundle Report

Changes will decrease total bundle size by 15 bytes (-0.0%) ⬇️. This is within the configured threshold ✅

Detailed changes

Bundle name	Size	Change
sentry-docs-server-cjs	11.13MB	-9 bytes (-0.0%) ⬇️
sentry-docs-client-array-push	9.47MB	-6 bytes (-0.0%) ⬇️

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	1.75MB	-0.0%
../instrumentation.js	-3 bytes	1.08MB	-0.0%
9523.js	-3 bytes	1.05MB	-0.0%

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	868.7kB	-0.0%
static/chunks/8165-*.js	-3 bytes	410.1kB	-0.0%
static/PGygBXULQr3lwiZX3V4Fw/_buildManifest.js (New)	578 bytes	578 bytes	100.0% 🚀
static/PGygBXULQr3lwiZX3V4Fw/_ssgManifest.js (New)	77 bytes	77 bytes	100.0% 🚀
static/5VjVU8szhtAqL5oYrnjhh/_buildManifest.js (Deleted)	-578 bytes	0 bytes	-100.0% 🗑️
static/5VjVU8szhtAqL5oYrnjhh/_ssgManifest.js (Deleted)	-77 bytes	0 bytes	-100.0% 🗑️