chore: publish bun to release registry

[AbhiPrasad]

depends on getsentry/sentry-release-registry#119 merging in

ref #9042

[github-actions]

size-limit report 📦

Path	Size
@sentry/browser (incl. Tracing, Replay) - Webpack (gzipped)	75.61 KB (+0.02% 🔺)
@sentry/browser (incl. Tracing) - Webpack (gzipped)	31.51 KB (+0.03% 🔺)
@sentry/browser - Webpack (gzipped)	22.11 KB (+0.04% 🔺)
@sentry/browser (incl. Tracing, Replay) - ES6 CDN Bundle (gzipped)	70.29 KB (+0.01% 🔺)
@sentry/browser (incl. Tracing) - ES6 CDN Bundle (gzipped)	28.61 KB (+0.04% 🔺)
@sentry/browser - ES6 CDN Bundle (gzipped)	20.67 KB (+0.04% 🔺)
@sentry/browser (incl. Tracing, Replay) - ES6 CDN Bundle (minified & uncompressed)	222.19 KB (+0.01% 🔺)
@sentry/browser (incl. Tracing) - ES6 CDN Bundle (minified & uncompressed)	86.68 KB (+0.02% 🔺)
@sentry/browser - ES6 CDN Bundle (minified & uncompressed)	61.53 KB (+0.03% 🔺)
@sentry/browser (incl. Tracing) - ES5 CDN Bundle (gzipped)	31.48 KB (+0.01% 🔺)
@sentry/react (incl. Tracing, Replay) - Webpack (gzipped)	75.63 KB (+0.02% 🔺)
@sentry/react - Webpack (gzipped)	22.14 KB (+0.04% 🔺)
@sentry/nextjs Client (incl. Tracing, Replay) - Webpack (gzipped)	93.51 KB (+0.02% 🔺)
@sentry/nextjs Client - Webpack (gzipped)	51.09 KB (+0.04% 🔺)