docs(js): Create Vue Quick Start guide

[inventarSarah]

DESCRIBE YOUR PR

This PR contains the updated Vue Quick Start guide.
I added code snippets for Pluvia and late-defined Vue apps. We could put them in Expandables if it makes sense to you, but I don't think this is necessary since these sections are relatively short anyway.

Closes: #14160

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PRE-MERGE CHECKLIST

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• 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

EXTRA RESOURCES

• Sentry Docs contributor guide

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Name	Status	Preview	Comments	Updated (UTC)
develop-docs	✅ Ready (Inspect)	Visit Preview	💬 Add feedback	Jun 30, 2025 4:18am
sentry-docs	❌ Failed (Inspect)			Jun 30, 2025 4:18am

[codecov]

Bundle Report

Changes will increase total bundle size by 587.26kB (2.78%) ⬆️. This is within the configured threshold ✅

Detailed changes

Bundle name	Size	Change
sentry-docs-server-cjs*	11.52MB	587.27kB (5.37%) ⬆️
sentry-docs-client-array-push*	9.8MB	-6 bytes (-0.0%) ⬇️

ℹ️ *Bundle size includes cached data from a previous commit

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	1.64MB	-0.0%
../instrumentation.js	-3 bytes	973.36kB	-0.0%
9523.js	-3 bytes	949.31kB	-0.0%
../app/[[...path]]/page.js.nft.json	195.9kB	600.24kB	48.45% ⚠️
../app/platform-redirect/page.js.nft.json	195.9kB	600.15kB	48.46% ⚠️
../app/sitemap.xml/route.js.nft.json	195.9kB	598.12kB	48.7% ⚠️
../app/[[...path]]/page.js	-57 bytes	591.55kB	-0.01%
../app/sitemap.xml/route.js	-5 bytes	34.27kB	-0.01%
../app/platform-redirect/page.js	-57 bytes	31.61kB	-0.18%
9567.js	-296 bytes	20.35kB	-1.43%

App Routes Affected:

App Route	Size Change	Total Size	Change (%)
/	-5 bytes	2.61MB	-0.0%
/[[...path]]	-57 bytes	3.14MB	-0.0%
/platform-redirect	-57 bytes	2.58MB	-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	873.24kB	-0.0%
static/chunks/7750-*.js	-3 bytes	415.85kB	-0.0%
static/jM-*.js (New)	684 bytes	684 bytes	100.0% 🚀
static/jM-*.js (New)	77 bytes	77 bytes	100.0% 🚀
static/ZGdXmDPNGSC8u0gMIarwI/_buildManifest.js (Deleted)	-684 bytes	0 bytes	-100.0% 🗑️
static/ZGdXmDPNGSC8u0gMIarwI/_ssgManifest.js (Deleted)	-77 bytes	0 bytes	-100.0% 🗑️

[coolguyzone]

🛳️💨