feat(replay): Improve public Replay APIs

[chargome]

Improves public Replay methods (start/stop/flush)

Fixes #12810

[github-actions]

size-limit report 📦

Path	Size
@sentry/browser	22.31 KB (0%)
@sentry/browser (incl. Tracing)	33.72 KB (0%)
@sentry/browser (incl. Tracing, Replay)	69.82 KB (+0.01% 🔺)
@sentry/browser (incl. Tracing, Replay) - with treeshaking flags	63.16 KB (+0.02% 🔺)
@sentry/browser (incl. Tracing, Replay with Canvas)	74.21 KB (+0.02% 🔺)
@sentry/browser (incl. Tracing, Replay, Feedback)	86.53 KB (+0.01% 🔺)
@sentry/browser (incl. Tracing, Replay, Feedback, metrics)	88.4 KB (+0.01% 🔺)
@sentry/browser (incl. metrics)	26.62 KB (0%)
@sentry/browser (incl. Feedback)	38.98 KB (0%)
@sentry/browser (incl. sendFeedback)	26.93 KB (0%)
@sentry/browser (incl. FeedbackAsync)	31.54 KB (0%)
@sentry/react	25.08 KB (0%)
@sentry/react (incl. Tracing)	36.8 KB (0%)
@sentry/vue	26.45 KB (0%)
@sentry/vue (incl. Tracing)	35.61 KB (0%)
@sentry/svelte	22.44 KB (0%)
CDN Bundle	23.52 KB (0%)
CDN Bundle (incl. Tracing)	35.5 KB (0%)
CDN Bundle (incl. Tracing, Replay)	69.86 KB (-0.07% 🔽)
CDN Bundle (incl. Tracing, Replay, Feedback)	75.13 KB (-0.06% 🔽)
CDN Bundle - uncompressed	69 KB (0%)
CDN Bundle (incl. Tracing) - uncompressed	105.1 KB (0%)
CDN Bundle (incl. Tracing, Replay) - uncompressed	216.74 KB (-0.07% 🔽)
CDN Bundle (incl. Tracing, Replay, Feedback) - uncompressed	229.46 KB (-0.07% 🔽)
@sentry/nextjs (client)	36.66 KB (0%)
@sentry/sveltekit (client)	34.39 KB (0%)
@sentry/node	111.76 KB (0%)
@sentry/node - without tracing	89.21 KB (0%)
@sentry/aws-serverless	98.34 KB (-0.01% 🔽)

[mydea]

wow, great work!