feat: centralize PostHog analytics with proper error handling

- Create lib/analytics.ts with centralized tracking functions
- Use arrow functions and camelCase naming per code standards
- Add error handling to prevent analytics failures from crashing app
- Update auth forms and provider workflows to use new analytics lib
- Export TypeScript interfaces for type-safe analytics payloads

Addresses PR review comments:
- Convert to arrow functions (requested by @paabloLC)
- Use camelCase for event and property names
- Centralize analytics logic for better maintainability

ui/components/auth/oss/auth-form.tsx

@@ -4,7 +4,6 @@ import { zodResolver } from "@hookform/resolvers/zod";
 import { Icon } from "@iconify/react";
 import { Button, Checkbox, Divider, Link, Tooltip } from "@nextui-org/react";
 import { useRouter, useSearchParams } from "next/navigation";
-import posthog from "posthog-js";
 import { useEffect } from "react";
 import { useForm } from "react-hook-form";
 import { z } from "zod";
@@ -22,6 +21,7 @@ import {
   FormField,
   FormMessage,
 } from "@/components/ui/form";
+import { initializeSession, trackUserLogin, trackUserRegistration } from "@/lib/analytics";
 import { ApiError, authFormSchema } from "@/types";
 
 export const AuthForm = ({
@@ -82,7 +82,7 @@ export const AuthForm = ({
 
   const onSubmit = async (data: z.infer<typeof formSchema>) => {
     //getting an new posthog init
-    posthog.reset(true);
+    initializeSession();
     if (type === "sign-in") {
       if (data.isSamlMode) {
         const email = data.email.toLowerCase();
@@ -110,11 +110,7 @@ export const AuthForm = ({
         password: data.password,
       });
       if (result?.message === "Success") {
-        posthog.identify(data.email.toLowerCase());
-        posthog.capture("user_login", {
-          email: data.email.toLocaleLowerCase(),
-          timestamp: Date.now(),
-        });
+        trackUserLogin({ email: data.email });
         router.push("/");
       } else if (result?.errors && "credentials" in result.errors) {
         form.setError("email", {
@@ -136,19 +132,10 @@ export const AuthForm = ({
       const newUser = await createNewUser(data);
 
       if (!newUser.errors) {
-        let firstName = "";
-        let lastName = "";
-        if (data.name) {
-          const nameParts = data.name.trim().split(" ");
-          firstName = nameParts[0] || "";
-          lastName = nameParts.slice(1).join(" ") || "";
-        }
-        posthog.capture("user_registered", {
-          email: data.email.toLocaleLowerCase(),
-          firstname: firstName,
-          lastname: lastName,
-          company: data.company || "",
-          timestamp: Date.now(),
+        trackUserRegistration({
+          email: data.email,
+          fullName: data.name,
+          company: data.company,
         });
         toast({
           title: "Success!",