### Godot version

v4.1.1.stable.official [bd6af8e0e]

### System information

Godot v4.1.1.stable - Debian GNU/Linux trixie/sid trixie - Vulkan (Compatibility) - Mesa Intel(R) HD Graphics 520 (SKL GT2) () - Intel(R) Core(TM) i7-6500U CPU @ 2.50GHz (4 Threads)

### Issue description

After right clicking in thet "Filter Nodes" menu in the scene tree dock, the sub-menu is populated with a "Search" icon.

If I later switch themes in the same session, this icon is never updated to match the new theme.

![image](https://github.com/godotengine/godot/assets/660911/14336bb3-12ca-48c8-b030-8ada6ac27ec6)


### Steps to reproduce

1. Right click in the "Filter Nodes" menu in scene tree dock
2. Switch themes
3. Right click again in the "Filter Nodes" menu

Expected result: Icon has updated to match the theme I am currently using
Actual result: Icon is still using the theme I launched Godot with

### Minimal reproduction project

N/A
d->set_owner(dup);
				}
				node_clipboard.push_back(dup);
			}
			if (p_tool == TOOL_CUT) {
				_delete_confirm(true);
			}
			if (was_empty) {
				_update_create_root_dialog();
			}
		} break;
		case TOOL_PASTE: {
			paste_nodes();
		} break;
		case TOOL_REPLACE: {
			if (!profile_allow_editing) {
				break;
			}
			if (!_validate_no_foreign()) {
				break;
			}
			if (!_validate_no_instance()) {
				break;
			}
			if (reset_create_dialog) {
				create_dialog->set_base_type("Node");
				reset_create_dialog = false;
			}