feat(replay): Add option to pass in custom record fn

[billyvg]

Bringing back #8647 but it would be nice to test new versions of rrweb without having to bundle it with our replay SDK.

[github-actions]

size-limit report 📦

Path	Size
@sentry/browser	22.04 KB (0%)
@sentry/browser (incl. Tracing)	33.23 KB (0%)
@sentry/browser (incl. Tracing, Replay)	69.32 KB (+0.53% 🔺)
@sentry/browser (incl. Tracing, Replay) - with treeshaking flags	62.61 KB (+0.55% 🔺)
@sentry/browser (incl. Tracing, Replay with Canvas)	73.72 KB (+0.97% 🔺)
@sentry/browser (incl. Tracing, Replay, Feedback)	85.55 KB (+0.46% 🔺)
@sentry/browser (incl. Tracing, Replay, Feedback, metrics)	87.38 KB (+0.44% 🔺)
@sentry/browser (incl. metrics)	26.23 KB (0%)
@sentry/browser (incl. Feedback)	38.24 KB (0%)
@sentry/browser (incl. sendFeedback)	26.63 KB (0%)
@sentry/browser (incl. FeedbackAsync)	31.18 KB (0%)
@sentry/react	24.81 KB (0%)
@sentry/react (incl. Tracing)	36.27 KB (0%)
@sentry/vue	26.05 KB (0%)
@sentry/vue (incl. Tracing)	35.08 KB (0%)
@sentry/svelte	22.17 KB (0%)
CDN Bundle	23.39 KB (0%)
CDN Bundle (incl. Tracing)	34.91 KB (0%)
CDN Bundle (incl. Tracing, Replay)	69.4 KB (+0.55% 🔺)
CDN Bundle (incl. Tracing, Replay, Feedback)	74.51 KB (+0.5% 🔺)
CDN Bundle - uncompressed	68.71 KB (0%)
CDN Bundle (incl. Tracing) - uncompressed	103.3 KB (0%)
CDN Bundle (incl. Tracing, Replay) - uncompressed	214.96 KB (+0.57% 🔺)
CDN Bundle (incl. Tracing, Replay, Feedback) - uncompressed	227.43 KB (+0.54% 🔺)
@sentry/nextjs (client)	35.63 KB (0%)
@sentry/sveltekit (client)	33.86 KB (0%)
@sentry/node	111.96 KB (0%)
@sentry/node - without tracing	89.43 KB (0%)
@sentry/aws-serverless	98.49 KB (+0.01% 🔺)