docs: add sentry integration docs (#21439)

* docs: add sentry integration docs

* feat: add sentry edge functions monitoring guide.

* feat: add sentry functions example.

* fix: navbar.

* chore: nits.

* chore: add to functions example list.

* fix: formatting.

* chore: add nextjs example.

* fix: rename sentry guide

* remove configuration options

* Apply suggestions from code review

Co-authored-by: Kamil Ogórek <kamil.ogorek@gmail.com>

---------

Co-authored-by: thorwebdev <thor@supabase.io>
Co-authored-by: Thor 雷神 Schaeff <5748289+thorwebdev@users.noreply.github.com>
Co-authored-by: Kamil Ogórek <kamil.ogorek@gmail.com>

examples/edge-functions/supabase/functions/sentryfied/index.ts

@@ -0,0 +1,32 @@
+import * as Sentry from 'https://deno.land/x/sentry/index.mjs'
+
+Sentry.init({
+  dsn: SENTRY_DSN,
+  integrations: [],
+  debug: true,
+  // Performance Monitoring
+  tracesSampleRate: 1.0,
+  // Set sampling rate for profiling - this is relative to tracesSampleRate
+  profilesSampleRate: 1.0,
+})
+
+// Set region and execution_id as custom tags
+Sentry.setTag('region', Deno.env.get('SB_REGION'))
+Sentry.setTag('execution_id', Deno.env.get('SB_EXECUTION_ID'))
+
+Deno.serve(async (req) => {
+  try {
+    const { name } = await req.json()
+    const data = {
+      message: `Hello ${name}!`,
+    }
+
+    return new Response(JSON.stringify(data), { headers: { 'Content-Type': 'application/json' } })
+  } catch (e) {
+    Sentry.captureException(e)
+    return new Response(JSON.stringify({ msg: 'error' }), {
+      status: 500,
+      headers: { 'Content-Type': 'application/json' },
+    })
+  }
+})