fix: better auth env variable

.github/CONTRIBUTING.md

@@ -61,7 +61,7 @@ Thank you for your interest in contributing to OpenCut! This document provides g
 
    # Generate a secure secret for Better Auth
    BETTER_AUTH_SECRET="your-generated-secret-here"
-   BETTER_AUTH_URL="http://localhost:3000"
+   NEXT_PUBLIC_BETTER_AUTH_URL="http://localhost:3000"
 
    # Redis (matches docker-compose.yaml)
    UPSTASH_REDIS_REST_URL="http://localhost:8079"

apps/web/.env.example

@@ -4,7 +4,7 @@
 DATABASE_URL="postgresql://opencut:opencutthegoat@localhost:5432/opencut"
 
 # Better Auth
-BETTER_AUTH_URL=http://localhost:3000
+NEXT_PUBLIC_BETTER_AUTH_URL=http://localhost:3000
 BETTER_AUTH_SECRET=your-secret-key-here
 
 #Google Clients

packages/auth/src/server.ts

@@ -22,6 +22,7 @@ export const auth = betterAuth({
       clientSecret: process.env.GOOGLE_CLIENT_SECRET as string,
     },
   },
+  baseURL: process.env.NEXT_PUBLIC_BETTER_AUTH_URL,
   appName: "OpenCut",
   trustedOrigins: ["http://localhost:3000"],
 });