feat(aws): Add support for streaming handlers

[msonnb]

closes#15774

[github-actions]

size-limit report 📦

Path	Size	% Change	Change
@sentry/browser	24.16 kB	-	-
@sentry/browser - with treeshaking flags	22.73 kB	-	-
@sentry/browser (incl. Tracing)	39.87 kB	-	-
@sentry/browser (incl. Tracing, Replay)	78.23 kB	-	-
@sentry/browser (incl. Tracing, Replay) - with treeshaking flags	68.02 kB	-	-
@sentry/browser (incl. Tracing, Replay with Canvas)	82.91 kB	-	-
@sentry/browser (incl. Tracing, Replay, Feedback)	95.03 kB	-	-
@sentry/browser (incl. Feedback)	40.83 kB	-	-
@sentry/browser (incl. sendFeedback)	28.81 kB	-	-
@sentry/browser (incl. FeedbackAsync)	33.7 kB	-	-
@sentry/react	25.88 kB	-	-
@sentry/react (incl. Tracing)	41.86 kB	-	-
@sentry/vue	28.64 kB	-	-
@sentry/vue (incl. Tracing)	41.69 kB	-	-
@sentry/svelte	24.18 kB	-	-
CDN Bundle	25.66 kB	-	-
CDN Bundle (incl. Tracing)	39.75 kB	-	-
CDN Bundle (incl. Tracing, Replay)	76.03 kB	-	-
CDN Bundle (incl. Tracing, Replay, Feedback)	81.46 kB	-	-
CDN Bundle - uncompressed	74.96 kB	-	-
CDN Bundle (incl. Tracing) - uncompressed	117.59 kB	-	-
CDN Bundle (incl. Tracing, Replay) - uncompressed	232.68 kB	-	-
CDN Bundle (incl. Tracing, Replay, Feedback) - uncompressed	245.28 kB	-	-
@sentry/nextjs (client)	43.89 kB	-	-
@sentry/sveltekit (client)	40.32 kB	-	-
@sentry/node-core	47.99 kB	-	-
@sentry/node	148.53 kB	-	-
@sentry/node - without tracing	92.24 kB	+0.01%	+1 B 🔺
@sentry/aws-serverless	104.91 kB	+0.36%	+374 B 🔺

View base workflow run

[andreiborza]

Nice!