feat(vercel): send Loops event when install starts

Add a fire-and-forget call to loopsClient.vercelIntegrationStarted
from the Vercel installation route so we emit a "vercel-integration"
event when a user begins the Vercel integration flow.

Implement vercelIntegrationStarted in services/loops.server to log
and dispatch the event payload (email, userId, firstName, eventName).
This provides visibility into integration adoption without blocking the
redirect flow. Error handling is intentionally silent to avoid affecting
user experience.

Author: 0ski

apps/webapp/app/routes/vercel.install.tsx

@@ -4,6 +4,7 @@ import { z } from "zod";
 import { $replica } from "~/db.server";
 import { requireUser } from "~/services/session.server";
 import { logger } from "~/services/logger.server";
+import { loopsClient } from "~/services/loops.server";
 import { OrgIntegrationRepository } from "~/models/orgIntegration.server";
 import { generateVercelOAuthState } from "~/v3/vercel/vercelOAuthState.server";
 import { findProjectBySlug } from "~/models/project.server";
@@ -65,6 +66,15 @@ export const loader = async ({ request }: LoaderFunctionArgs) => {
     projectSlug: project_slug,
   });
 
+  // Send Loops.so event (fire-and-forget, don't block the redirect)
+  loopsClient
+    ?.vercelIntegrationStarted({
+      userId: user.id,
+      email: user.email,
+      name: user.name,
+    })
+    .catch(() => {});
+
   // Generate Vercel install URL
   const vercelInstallUrl = OrgIntegrationRepository.vercelInstallUrl(stateToken);
 

apps/webapp/app/services/loops.server.ts

@@ -22,6 +22,24 @@ class LoopsClient {
     });
   }
 
+  async vercelIntegrationStarted({
+    userId,
+    email,
+    name,
+  }: {
+    userId: string;
+    email: string;
+    name: string | null;
+  }) {
+    logger.info(`Loops send "vercel-integration" event`, { userId, email, name });
+    return this.#sendEvent({
+      email,
+      userId,
+      firstName: name?.split(" ").at(0),
+      eventName: "vercel-integration",
+    });
+  }
+
   async #sendEvent({
     email,
     userId,