different names in different dynamics

app/Models/User.php

@@ -49,6 +49,13 @@ class User extends Authenticatable implements PasskeyUser
         return $this->hasMany(ReadCursor::class);
     }
 
+    public function displayNameFor(Dynamic $dynamic): string
+    {
+        $participant = $dynamic->participants()->where('user_id', $this->id)->first();
+
+        return $participant?->pivot?->display_name ?? $this->name;
+    }
+
     /**
      * Get the attributes that should be cast.
      *