ref(rust): standardize client init guard name

[lcian]

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Close #8374

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Name	Status	Preview	Comments	Updated (UTC)
sentry-docs	✅ Ready (Inspect)	Visit Preview	💬 Add feedback	Jul 25, 2025 3:01pm

1 Skipped Deployment

Name	Status	Preview	Comments	Updated (UTC)
develop-docs	⬜️ Ignored (Inspect)			Jul 25, 2025 3:01pm

[codecov]

Bundle Report

Changes will increase total bundle size by 9.99kB (0.04%) ⬆️. This is within the configured threshold ✅

Detailed changes

Bundle name	Size	Change
sentry-docs-client-array-push	9.83MB	-6 bytes (-0.0%) ⬇️
sentry-docs-server-cjs	12.25MB	9.99kB (0.08%) ⬆️

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%
../app/[[...path]]/page.js.nft.json	3.33kB	729.39kB	0.46%
../app/platform-redirect/page.js.nft.json	3.33kB	729.31kB	0.46%
../app/sitemap.xml/route.js.nft.json	3.33kB	726.78kB	0.46%

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	879.71kB	-0.0%
static/chunks/1831-*.js	-3 bytes	422.23kB	-0.0%
static/gN0hNtMu99Tglw8TPnGZj/_buildManifest.js (New)	684 bytes	684 bytes	100.0% 🚀
static/gN0hNtMu99Tglw8TPnGZj/_ssgManifest.js (New)	77 bytes	77 bytes	100.0% 🚀
static/YXY4G8VURQGtd11K3TBRI/_buildManifest.js (Deleted)	-684 bytes	0 bytes	-100.0% 🗑️
static/YXY4G8VURQGtd11K3TBRI/_ssgManifest.js (Deleted)	-77 bytes	0 bytes	-100.0% 🗑️