feat(remix): Serve the managed tunnel from the Remix 3 router middleware

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Adds the tunnel wiring to the remix SDK. We already had a middleware so it works by adding the request matching logic there.

closes #25464

[github-actions]

size-limit report 📦

Path	Size	% Change	Change
@sentry/browser	31.03 kB	+3.87%	+1.16 kB 🔺
@sentry/browser - with treeshaking flags	28.82 kB	+2.87%	+803 B 🔺
@sentry/browser - with treeshaking flags tracing without tracing	28.72 kB	+2.86%	+798 B 🔺
@sentry/browser (incl. Tracing)	53.24 kB	+2.26%	+1.17 kB 🔺
@sentry/browser (incl. Tracing + Span Streaming)	53.24 kB	+2.24%	+1.17 kB 🔺
@sentry/browser (incl. Tracing, Profiling)	56.24 kB	+2.24%	+1.23 kB 🔺
@sentry/browser (incl. Tracing, Replay)	92.99 kB	+1.28%	+1.17 kB 🔺
@sentry/browser (incl. Tracing, Replay) - with treeshaking flags	81.48 kB	+1%	+799 B 🔺
@sentry/browser (incl. Tracing, Replay with Canvas)	97.74 kB	+1.24%	+1.19 kB 🔺
@sentry/browser (incl. Tracing, Replay, Feedback)	110.67 kB	+1.09%	+1.19 kB 🔺
@sentry/browser (incl. Feedback)	48.6 kB	+2.55%	+1.21 kB 🔺
@sentry/browser (incl. sendFeedback)	36.12 kB	+3.37%	+1.18 kB 🔺
@sentry/browser (incl. FeedbackAsync)	41.25 kB	+3%	+1.2 kB 🔺
@sentry/browser (incl. Metrics)	32.03 kB	+3.65%	+1.13 kB 🔺
@sentry/browser (incl. Logs)	32.32 kB	+3.65%	+1.14 kB 🔺
@sentry/browser (incl. Metrics & Logs)	33.01 kB	+3.78%	+1.2 kB 🔺
@sentry/react	32.84 kB	+3.58%	+1.13 kB 🔺
@sentry/react (incl. Tracing)	55.52 kB	+2.08%	+1.13 kB 🔺
@sentry/vue	39.21 kB	+3.09%	+1.17 kB 🔺
@sentry/vue (incl. Tracing)	56.25 kB	+2.26%	+1.24 kB 🔺
@sentry/svelte	31.06 kB	+3.88%	+1.16 kB 🔺
@sentry/remix (Remix 3 client bundle)	58.28 kB	+2.11%	+1.2 kB 🔺
CDN Bundle	32.36 kB	+2.27%	+716 B 🔺
CDN Bundle (incl. Tracing)	53.3 kB	+1.38%	+723 B 🔺
CDN Bundle (incl. Logs, Metrics)	34.55 kB	+2.13%	+718 B 🔺
CDN Bundle (incl. Tracing, Logs, Metrics)	55.25 kB	+1.34%	+728 B 🔺
CDN Bundle (incl. Replay, Logs, Metrics)	75.52 kB	+1.01%	+751 B 🔺
CDN Bundle (incl. Tracing, Replay)	90.97 kB	+0.8%	+717 B 🔺
CDN Bundle (incl. Tracing, Replay, Logs, Metrics)	92.96 kB	+0.86%	+785 B 🔺
CDN Bundle (incl. Tracing, Replay, Feedback)	97.14 kB	+0.77%	+737 B 🔺
CDN Bundle (incl. Tracing, Replay, Feedback, Logs, Metrics)	99.14 kB	+0.81%	+792 B 🔺
CDN Bundle - uncompressed	95.04 kB	+2%	+1.86 kB 🔺
CDN Bundle (incl. Tracing) - uncompressed	157.88 kB	+1.19%	+1.85 kB 🔺
CDN Bundle (incl. Logs, Metrics) - uncompressed	101.58 kB	+1.87%	+1.86 kB 🔺
CDN Bundle (incl. Tracing, Logs, Metrics) - uncompressed	163.84 kB	+1.15%	+1.85 kB 🔺
CDN Bundle (incl. Replay, Logs, Metrics) - uncompressed	231.62 kB	+0.82%	+1.86 kB 🔺
CDN Bundle (incl. Tracing, Replay) - uncompressed	278.05 kB	+0.67%	+1.85 kB 🔺
CDN Bundle (incl. Tracing, Replay, Logs, Metrics) - uncompressed	283.99 kB	+0.66%	+1.85 kB 🔺
CDN Bundle (incl. Tracing, Replay, Feedback) - uncompressed	291.75 kB	+0.64%	+1.85 kB 🔺
CDN Bundle (incl. Tracing, Replay, Feedback, Logs, Metrics) - uncompressed	297.69 kB	+0.63%	+1.85 kB 🔺
@sentry/nextjs (client)	57.92 kB	+1.98%	+1.12 kB 🔺
@sentry/sveltekit (client)	53.67 kB	+2.34%	+1.23 kB 🔺
@sentry/core/server	41.85 kB	+1.78%	+730 B 🔺
@sentry/core/browser	13.81 kB	-	-
@sentry/node	153.84 kB	+0.5%	+757 B 🔺
@sentry/node/import (ESM hook with diagnostics-channel injection)	84.04 kB	-	-
@sentry/node - without tracing	95.58 kB	+0.75%	+707 B 🔺
@sentry/node - without channel injection	131.89 kB	+0.58%	+748 B 🔺
@sentry/aws-serverless	103.84 kB	+0.79%	+805 B 🔺
@sentry/cloudflare (withSentry) - minified	212.53 kB	+0.92%	+1.93 kB 🔺
@sentry/cloudflare (withSentry)	526.33 kB	+0.73%	+3.8 kB 🔺
@sentry/nextjs/cloudflare (withSentry) - minified	230.21 kB	+0.85%	+1.93 kB 🔺

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