feat(analytics): identify + groupIdentify on auth/org events

Add analytics tracking calls to auth and organization flows:
- identify on signup (email, name, provider) and signin (email, name, lastLoginAt)
- groupIdentify on org create (name, createdAt) and org update (name)
- groupIdentify on billing plan.changed event (plan)

All calls are wrapped in try/catch to never break the main flow.

Closes #3296

Author: PierreBrisorgueil

modules/analytics/analytics.init.js

@@ -2,15 +2,24 @@
  * Module dependencies
  */
 import AnalyticsService from './services/analytics.service.js';
+import billingEvents from '../billing/lib/events.js';
 
 /**
  * Initialise the analytics module.
  * Called automatically by the Express init loop (matched via the
  * `modules/{name}/{name}.init.js` glob in config/assets.js).
+ * Listens for billing plan changes to update group properties.
  * @param {object} _app - Express application instance (unused)
  * @returns {Promise<void>}
  */
 // eslint-disable-next-line no-unused-vars
 export default async (_app) => {
   await AnalyticsService.init();
+
+  // Listen for billing plan changes and update group properties
+  billingEvents.on('plan.changed', ({ organizationId, newPlan }) => {
+    try {
+      AnalyticsService.groupIdentify('company', String(organizationId), { plan: newPlan });
+    } catch (_) { /* analytics must not break billing flow */ }
+  });
 };