### 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
EditorData *get_editor_data() { return editor_data; }
	void add_remote_tree_editor(Control *p_remote);
	void show_remote_tree();
	void hide_remote_tree();
	void show_tab_buttons();
	void hide_tab_buttons();
	void replace_node(Node *p_node, Node *p_by_node, bool p_keep_properties = true, bool p_remove_old = true);
	void attach_script_to_selected(bool p_extend);
	void open_script_dialog(Node *p_for_node, bool p_extend);
	void attach_shader_to_selected(int p_preferred_mode = -1);
	void open_shader_dialog(const Ref<ShaderMaterial> &p_for_material, int p_preferred_mode = -1);
	void open_add_child_dialog();
	void open_instance_child_dialog();
	List<Node *> paste_nodes();
	List<Node *> get_node_clipboard() const;
	ScriptCreateDialog *get_script_create_dialog() {
		return script_create_dialog;
	}
	SceneTreeDock(Node *p_scene_root, EditorSelection *p_editor_selection, EditorData &p_editor_data);
	~SceneTreeDock();
};
#endif