ci(profiling): run compile only if bindings have changed

[JonasBa]

Mitigates #10486 by skipping compilation unless binaries have changed or we are on release branch

[github-actions]

size-limit report 📦

Path	Size
@sentry/browser (incl. Tracing, Replay, Feedback) - Webpack (gzipped)	78.4 KB (+0.09% 🔺)
@sentry/browser (incl. Tracing, Replay) - Webpack (gzipped)	69.63 KB (+0.1% 🔺)
@sentry/browser (incl. Tracing, Replay with Canvas) - Webpack (gzipped)	73.57 KB (+0.11% 🔺)
@sentry/browser (incl. Tracing, Replay) - Webpack with treeshaking flags (gzipped)	63.25 KB (+0.12% 🔺)
@sentry/browser (incl. Tracing) - Webpack (gzipped)	33.59 KB (+0.22% 🔺)
@sentry/browser (incl. browserTracingIntegration) - Webpack (gzipped)	33.46 KB (+0.23% 🔺)
@sentry/browser (incl. Feedback) - Webpack (gzipped)	31.37 KB (0%)
@sentry/browser (incl. sendFeedback) - Webpack (gzipped)	31.37 KB (0%)
@sentry/browser - Webpack (gzipped)	22.64 KB (0%)
@sentry/browser (incl. Tracing, Replay, Feedback) - ES6 CDN Bundle (gzipped)	76.61 KB (+0.34% 🔺)
@sentry/browser (incl. Tracing, Replay) - ES6 CDN Bundle (gzipped)	68.11 KB (+0.32% 🔺)
@sentry/browser (incl. Tracing) - ES6 CDN Bundle (gzipped)	33.91 KB (+0.74% 🔺)
@sentry/browser - ES6 CDN Bundle (gzipped)	24.92 KB (+0.77% 🔺)
@sentry/browser (incl. Tracing, Replay) - ES6 CDN Bundle (minified & uncompressed)	214.61 KB (+0.26% 🔺)
@sentry/browser (incl. Tracing) - ES6 CDN Bundle (minified & uncompressed)	102.42 KB (+0.55% 🔺)
@sentry/browser - ES6 CDN Bundle (minified & uncompressed)	74.69 KB (+0.59% 🔺)
@sentry/browser (incl. Tracing) - ES5 CDN Bundle (gzipped)	37.05 KB (+0.71% 🔺)
@sentry/react (incl. Tracing, Replay) - Webpack (gzipped)	70 KB (+0.11% 🔺)
@sentry/react - Webpack (gzipped)	22.67 KB (0%)
@sentry/nextjs Client (incl. Tracing, Replay) - Webpack (gzipped)	87.62 KB (+0.09% 🔺)
@sentry/nextjs Client - Webpack (gzipped)	51.82 KB (+0.18% 🔺)
@sentry-internal/feedback - Webpack (gzipped)	17.21 KB (0%)