feat(vercel-edge): Stop using hub

[lforst]

Stops using the hub for the async context in the vercel-edge package.

ref #11482

[github-actions]

size-limit report 📦

Path	Size
@sentry/browser	22.09 KB (0%)
@sentry/browser (incl. Tracing)	31.78 KB (0%)
@sentry/browser (incl. Tracing, Replay)	66.99 KB (0%)
@sentry/browser (incl. Tracing, Replay) - with treeshaking flags	60.58 KB (0%)
@sentry/browser (incl. Tracing, Replay with Canvas)	70.83 KB (0%)
@sentry/browser (incl. Tracing, Replay, Feedback)	80.69 KB (0%)
@sentry/browser (incl. Feedback)	35.64 KB (0%)
@sentry/browser (incl. Feedback, Feedback Modal)	35.65 KB (0%)
@sentry/browser (incl. Feedback, Feedback Modal, Feedback Screenshot)	35.66 KB (0%)
@sentry/browser (incl. sendFeedback)	26.89 KB (0%)
@sentry/react	24.78 KB (0%)
@sentry/react (incl. Tracing)	34.7 KB (0%)
@sentry/vue	25.64 KB (0%)
@sentry/vue (incl. Tracing)	33.5 KB (0%)
@sentry/svelte	22.22 KB (0%)
CDN Bundle	24.14 KB (0%)
CDN Bundle (incl. Tracing)	32.76 KB (0%)
CDN Bundle (incl. Tracing, Replay)	66.47 KB (0%)
CDN Bundle (incl. Tracing, Replay, Feedback)	80.5 KB (0%)
CDN Bundle - uncompressed	71.84 KB (0%)
CDN Bundle (incl. Tracing) - uncompressed	98.11 KB (0%)
CDN Bundle (incl. Tracing, Replay) - uncompressed	207.5 KB (0%)
@sentry/nextjs (client)	33.88 KB (0%)
@sentry/sveltekit (client)	32.3 KB (0%)
@sentry/node	120.15 KB (0%)

[AbhiPrasad]

just realized we have to do this for browser