### 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_NEW,
		TOOL_INSTANTIATE,
		TOOL_EXPAND_COLLAPSE,
		TOOL_CUT,
		TOOL_COPY,
		TOOL_PASTE,
		TOOL_RENAME,
#ifdef MODULE_REGEX_ENABLED
		TOOL_BATCH_RENAME,
#endif 
		TOOL_REPLACE,
		TOOL_EXTEND_SCRIPT,
		TOOL_ATTACH_SCRIPT,
		TOOL_DETACH_SCRIPT,
		TOOL_MOVE_UP,
		TOOL_MOVE_DOWN,
		TOOL_DUPLICATE,
		TOOL_REPARENT,
		TOOL_REPARENT_TO_NEW_NODE,
		TOOL_MAKE_ROOT,
		TOOL_NEW_SCENE_FROM,
		TOOL_MULTI_EDIT,
		TOOL_ERASE,
		TOOL_COPY_NODE_PATH,
		TOOL_OPEN_DOCUMENTATION,
		TOOL_AUTO_EXPAND,
		TOOL_SCENE_EDITABLE_CHILDREN,
		TOOL_SCENE_USE_PLACEHOLDER,
		TOOL_SCENE_MAKE_LOCAL,