feat(js): Add docs about serialization of captureException objects

[mydea]

This adds docs explaining how captureException handles different kinds of objects.

Closes https://linear.app/getsentry/issue/FE-507/improve-js-sdk-based-on-user-feedback

[vercel]

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Name	Status	Preview	Comments	Updated (UTC)
sentry-docs	✅ Ready (Inspect)	Visit Preview	💬 Add feedback	Jul 3, 2025 2:11pm

1 Skipped Deployment

Name	Status	Preview	Comments	Updated (UTC)
develop-docs	⬜️ Ignored (Inspect)			Jul 3, 2025 2:11pm

[codecov]

Bundle Report

Changes will increase total bundle size by 180 bytes (0.0%) ⬆️. This is within the configured threshold ✅

Detailed changes

Bundle name	Size	Change
sentry-docs-server-cjs	11.8MB	186 bytes (0.0%) ⬆️
sentry-docs-client-array-push	9.8MB	-6 bytes (-0.0%) ⬇️

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	873.24kB	-0.0%
static/chunks/7750-*.js	-3 bytes	415.85kB	-0.0%
server/middleware-*.js	5.55kB	6.55kB	555.3% ⚠️
server/middleware-*.js	-5.55kB	1.0kB	-84.74%
static/Y423AMCSnpLXkQiW4j3lw/_buildManifest.js (New)	684 bytes	684 bytes	100.0% 🚀
static/Y423AMCSnpLXkQiW4j3lw/_ssgManifest.js (New)	77 bytes	77 bytes	100.0% 🚀
static/eIe1YqfXlnwRYGw2MaR38/_buildManifest.js (Deleted)	-684 bytes	0 bytes	-100.0% 🗑️
static/eIe1YqfXlnwRYGw2MaR38/_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	1.64MB	-0.0%
../instrumentation.js	-3 bytes	973.36kB	-0.0%
9523.js	-3 bytes	949.31kB	-0.0%
../app/[[...path]]/page.js.nft.json	65 bytes	693.4kB	0.01%
../app/platform-redirect/page.js.nft.json	65 bytes	693.32kB	0.01%
../app/sitemap.xml/route.js.nft.json	65 bytes	691.29kB	0.01%