Fix Supabase security warnings

Author: lovable-dev[bot]

supabase/migrations/20250905150155_b8936983-986f-4ad3-b209-2a15ec0f091b.sql

@@ -0,0 +1,13 @@
+-- Fix security warning: Set search_path for handle_new_user function
+CREATE OR REPLACE FUNCTION public.handle_new_user()
+RETURNS TRIGGER AS $$
+BEGIN
+  INSERT INTO public.profiles (id, email, display_name)
+  VALUES (
+    NEW.id,
+    NEW.email,
+    COALESCE(NEW.raw_user_meta_data->>'display_name', NEW.email)
+  );
+  RETURN NEW;
+END;
+$$ LANGUAGE plpgsql SECURITY DEFINER SET search_path = public;