### Tested versions

v4.2.stable.official [46dc27791]

### System information

Windows 11- Godot v4.2.stable.official [46dc27791] - Vulkan (Forward+)

### Issue description

When I switch picker mode the next time I open it should be the pick mode I selected last time but it's not

https://github.com/godotengine/godot/assets/46812028/522c8b55-14cf-4781-963f-a465a03c9432



### Steps to reproduce

Toggle a picker mode off and on again

### Minimal reproduction project (MRP)

N/A
int selected_main_editor_idx = p_config_file->get_value(EDITOR_NODE_CONFIG_SECTION, "selected_main_editor_idx");
		if (selected_main_editor_idx >= 0 && selected_main_editor_idx < main_editor_buttons.size()) {
			callable_mp(this, &EditorNode::editor_select).call_deferred(selected_main_editor_idx);
		}
	}
}
void EditorNode::_load_open_scenes_from_config(Ref<ConfigFile> p_layout) {
	if (!bool(EDITOR_GET("interface/scene_tabs/restore_scenes_on_load"))) {
		return;
	}
	if (!p_layout->has_section(EDITOR_NODE_CONFIG_SECTION) ||
			!p_layout->has_section_key(EDITOR_NODE_CONFIG_SECTION, "open_scenes")) {
		return;
	}
	restoring_scenes = true;
	PackedStringArray scenes = p_layout->get_value(EDITOR_NODE_CONFIG_SECTION, "open_scenes");
	for (int i = 0; i < scenes.size(); i++) {
		load_scene(scenes[i]);
	}
	if (p_layout->has_section_key(EDITOR_NODE_CONFIG_SECTION, "current_scene")) {
		String current_scene = p_layout->get_value(EDITOR_NODE_CONFIG_SECTION, "current_scene");
		int current_scene_idx = scenes.find(current_scene);
		if (current_scene_idx >= 0) {
			_set_current_scene(current_scene_idx);
		}
	}
	save_editor_layout_delayed();
	restoring_scenes = false;
}
bool EditorNode::has_scenes_in_session() {