ci: Finally fix auto-merge for gitflow

[mydea]

This was still failing here: https://github.com/getsentry/sentry-javascript/actions/runs/4755882080/jobs/8450653777?pr=7922

I maybe should have read the GH CI docs before 😅 I think now it should really be working, hopefully...

[github-actions]

size-limit report 📦

Path	Size
@sentry/browser - ES5 CDN Bundle (gzipped + minified)	21.02 KB (+0.04% 🔺)
@sentry/browser - ES5 CDN Bundle (minified)	65.66 KB (+0.03% 🔺)
@sentry/browser - ES6 CDN Bundle (gzipped + minified)	19.56 KB (+0.03% 🔺)
@sentry/browser - ES6 CDN Bundle (minified)	58.12 KB (+0.03% 🔺)
@sentry/browser - Webpack (gzipped + minified)	21.17 KB (+0.03% 🔺)
@sentry/browser - Webpack (minified)	69.07 KB (+0.03% 🔺)
@sentry/react - Webpack (gzipped + minified)	21.19 KB (+0.03% 🔺)
@sentry/nextjs Client - Webpack (gzipped + minified)	49.03 KB (+0.01% 🔺)
@sentry/browser + @sentry/tracing - ES5 CDN Bundle (gzipped + minified)	28.59 KB (+0.01% 🔺)
@sentry/browser + @sentry/tracing - ES6 CDN Bundle (gzipped + minified)	26.82 KB (+0.03% 🔺)
@sentry/replay ES6 CDN Bundle (gzipped + minified)	46.04 KB (+0.01% 🔺)
@sentry/replay - Webpack (gzipped + minified)	39.92 KB (0%)
@sentry/browser + @sentry/tracing + @sentry/replay - ES6 CDN Bundle (gzipped + minified)	64.91 KB (+0.01% 🔺)
@sentry/browser + @sentry/replay - ES6 CDN Bundle (gzipped + minified)	57.89 KB (+0.01% 🔺)