test: Cache Playwright deps

[AbhiPrasad]

To reduce possible flakiness, we cache our playwright dependencies. This should help CI times and prevent us from downloading playwright assets over and over (preventing possible timeout issues).

[github-actions]

size-limit report 📦

Path	Size
@sentry/browser - ES5 CDN Bundle (gzipped + minified)	19.84 KB (-0.02% 🔽)
@sentry/browser - ES5 CDN Bundle (minified)	61.46 KB (0%)
@sentry/browser - ES6 CDN Bundle (gzipped + minified)	18.62 KB (+0.01% 🔺)
@sentry/browser - ES6 CDN Bundle (minified)	55 KB (0%)
@sentry/browser - Webpack (gzipped + minified)	20.38 KB (0%)
@sentry/browser - Webpack (minified)	66.55 KB (0%)
@sentry/react - Webpack (gzipped + minified)	20.4 KB (-0.01% 🔽)
@sentry/nextjs Client - Webpack (gzipped + minified)	47.63 KB (-0.01% 🔽)
@sentry/browser + @sentry/tracing - ES5 CDN Bundle (gzipped + minified)	26.82 KB (+0.02% 🔺)
@sentry/browser + @sentry/tracing - ES6 CDN Bundle (gzipped + minified)	25.25 KB (-0.01% 🔽)
@sentry/replay ES6 CDN Bundle (gzipped + minified)	43.05 KB (-0.01% 🔽)
@sentry/replay - Webpack (gzipped + minified)	38.3 KB (0%)

[onurtemizkan]

LGTM!