### 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
#include "scene_tree_dock.h"
#include "core/config/project_settings.h"
#include "core/input/input.h"
#include "core/io/resource_saver.h"
#include "core/object/class_db.h"
#include "core/object/message_queue.h"
#include "core/os/keyboard.h"
#include "editor/debugger/editor_debugger_node.h"
#include "editor/editor_feature_profile.h"
#include "editor/editor_node.h"
#include "editor/editor_paths.h"
#include "editor/editor_quick_open.h"
#include "editor/editor_scale.h"
#include "editor/editor_settings.h"
#include "editor/editor_undo_redo_manager.h"
#include "editor/gui/editor_file_dialog.h"
#include "editor/inspector_dock.h"
#include "editor/multi_node_edit.h"
#include "editor/plugins/animation_player_editor_plugin.h"
#include "editor/plugins/canvas_item_editor_plugin.h"
#include "editor/plugins/node_3d_editor_plugin.h"
#include "editor/plugins/script_editor_plugin.h"
#include "editor/reparent_dialog.h"
#include "editor/shader_create_dialog.h"
#include "scene/gui/check_box.h"
#include "scene/main/window.h"