chore(replay): Use and extend monorepo's .eslintrc.js config

[Lms24]

Use and extend the monorepo's eslint config in Replay's eslintrc.js. The config still contains a lot of overrides for temporarily disabled rules and replay-specific settings but we'll try to reduce these as we progress.
(Doing this now because it's one less thing to worry about while I'm trying to consolidate the tsconfigs)

ref: #6280

[mydea]

LGTM!

[github-actions]

size-limit report 📦

Path	Size
@sentry/browser - ES5 CDN Bundle (gzipped + minified)	19.53 KB (-0.02% 🔽)
@sentry/browser - ES5 CDN Bundle (minified)	60.42 KB (0%)
@sentry/browser - ES6 CDN Bundle (gzipped + minified)	18.21 KB (+0.02% 🔺)
@sentry/browser - ES6 CDN Bundle (minified)	53.77 KB (0%)
@sentry/browser - Webpack (gzipped + minified)	19.94 KB (0%)
@sentry/browser - Webpack (minified)	65.25 KB (0%)
@sentry/react - Webpack (gzipped + minified)	19.96 KB (0%)
@sentry/nextjs Client - Webpack (gzipped + minified)	45.96 KB (0%)
@sentry/browser + @sentry/tracing - ES5 CDN Bundle (gzipped + minified)	26.41 KB (-0.02% 🔽)
@sentry/browser + @sentry/tracing - ES6 CDN Bundle (gzipped + minified)	24.83 KB (+0.01% 🔺)
@sentry/replay index.js	83.67 KB (-0.07% 🔽)
@sentry/replay - Webpack (gzipped + minified)	83.69 KB (-0.07% 🔽)
@sentry/replay - Webpack (minified)	272.17 KB (-0.06% 🔽)