Fix #127833: Action linked after particle settings duplication

Similar to how we do for new world, material, ..., no reason to not
duplicate Actions (no way otherwise to assign a different Action from
UI).

Fix similar to a75ac18638

Pull Request: https://projects.blender.org/blender/blender/pulls/127850

source/blender/editors/physics/particle_object.cc

@@ -169,7 +169,8 @@ static int new_particle_settings_exec(bContext *C, wmOperator * /*op*/)
 
   /* add or copy particle setting */
   if (psys->part) {
-    part = (ParticleSettings *)BKE_id_copy(bmain, &psys->part->id);
+    part = reinterpret_cast<ParticleSettings *>(BKE_id_copy_ex(
+        bmain, &psys->part->id, nullptr, LIB_ID_COPY_DEFAULT | LIB_ID_COPY_ACTIONS));
   }
   else {
     part = BKE_particlesettings_add(bmain, "ParticleSettings");