build(ci): Properly skip node CI steps when not changed

[mydea]

One part of #10486, actually our checks for this were not correct 😅

This is still only a partial fix as if we change anything in core etc. we'll still have the build overhead every time, but it's something!

[github-actions]

size-limit report 📦

Path	Size
@sentry/browser (incl. Tracing, Replay, Feedback) - Webpack (gzipped)	78.2 KB (0%)
@sentry/browser (incl. Tracing, Replay) - Webpack (gzipped)	69.43 KB (0%)
@sentry/browser (incl. Tracing, Replay with Canvas) - Webpack (gzipped)	73.36 KB (0%)
@sentry/browser (incl. Tracing, Replay) - Webpack with treeshaking flags (gzipped)	63.04 KB (0%)
@sentry/browser (incl. Tracing) - Webpack (gzipped)	33.38 KB (0%)
@sentry/browser (incl. browserTracingIntegration) - Webpack (gzipped)	33.25 KB (0%)
@sentry/browser (incl. Feedback) - Webpack (gzipped)	31.33 KB (0%)
@sentry/browser (incl. sendFeedback) - Webpack (gzipped)	31.34 KB (0%)
@sentry/browser - Webpack (gzipped)	22.6 KB (0%)
@sentry/browser (incl. Tracing, Replay, Feedback) - ES6 CDN Bundle (gzipped)	76.17 KB (0%)
@sentry/browser (incl. Tracing, Replay) - ES6 CDN Bundle (gzipped)	67.72 KB (0%)
@sentry/browser (incl. Tracing) - ES6 CDN Bundle (gzipped)	33.5 KB (0%)
@sentry/browser - ES6 CDN Bundle (gzipped)	24.66 KB (0%)
@sentry/browser (incl. Tracing, Replay) - ES6 CDN Bundle (minified & uncompressed)	213.68 KB (0%)
@sentry/browser (incl. Tracing) - ES6 CDN Bundle (minified & uncompressed)	101.49 KB (0%)
@sentry/browser - ES6 CDN Bundle (minified & uncompressed)	74.01 KB (0%)
@sentry/browser (incl. Tracing) - ES5 CDN Bundle (gzipped)	36.63 KB (0%)
@sentry/react (incl. Tracing, Replay) - Webpack (gzipped)	69.8 KB (0%)
@sentry/react - Webpack (gzipped)	22.63 KB (0%)
@sentry/nextjs Client (incl. Tracing, Replay) - Webpack (gzipped)	87.42 KB (+1% 🔺)
@sentry/nextjs Client - Webpack (gzipped)	51.57 KB (+1.52% 🔺)
@sentry-internal/feedback - Webpack (gzipped)	17.21 KB (0%)