### 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
TOOL_SCENE_OPEN,
		TOOL_SCENE_CLEAR_INHERITANCE,
		TOOL_SCENE_CLEAR_INHERITANCE_CONFIRM,
		TOOL_SCENE_OPEN_INHERITED,
		TOOL_TOGGLE_SCENE_UNIQUE_NAME,
		TOOL_CREATE_2D_SCENE,
		TOOL_CREATE_3D_SCENE,
		TOOL_CREATE_USER_INTERFACE,
		TOOL_CREATE_FAVORITE,
	};
	enum {
		EDIT_SUBRESOURCE_BASE = 100
	};
	Vector<ObjectID> subresources;
	bool reset_create_dialog = false;
	int current_option = 0;
	CreateDialog *create_dialog = nullptr;
#ifdef MODULE_REGEX_ENABLED
	RenameDialog *rename_dialog = nullptr;
#endif 
	Button *button_add = nullptr;
	Button *button_instance = nullptr;
	Button *button_create_script = nullptr;
	Button *button_detach_script = nullptr;
	MenuButton *button_tree_menu = nullptr;
	Button *node_shortcuts_toggle = nullptr;
	VBoxContainer *beginner_node_shortcuts = nullptr;
	VBoxContainer *favorite_node_shortcuts = nullptr;
	Button *button_2d = nullptr;
	Button *button_3d = nullptr;