### Godot version

4.2 dev4

### System information

Windows 10.0.19045 - Vulkan (Forward+) - dedicated NVIDIA GeForce GTX 1060 (NVIDIA; 30.0.15.1403) - Intel(R) Core(TM) i7-7700HQ CPU @ 2.80GHz (8 Threads)

### Issue description

When you have many tabs opened and they are overflowing with the < > buttons, when you switch scene tab it may hide some tabs in specific circumstances:

https://github.com/godotengine/godot/assets/2223172/e5904497-6e3f-48af-815a-3a156ca15018

I'd expect that simply switching to another tab has no effect on visibility.

### Steps to reproduce

1. Open many scene tabs
2. Repeat what I did on the video
May depend on tab names and window size.

### Minimal reproduction project

N/A
bool unsaved = EditorUndoRedoManager::get_singleton()->is_history_unsaved(EditorNode::get_editor_data().get_scene_history_id(i));
		scene_tabs->add_tab(disambiguated_scene_names[i] + (unsaved ? "(*)" : ""), icon);
		if (DisplayServer::get_singleton()->has_feature(DisplayServer::FEATURE_GLOBAL_MENU)) {
			DisplayServer::get_singleton()->global_menu_add_item("_dock", EditorNode::get_editor_data().get_scene_title(i) + (unsaved ? "(*)" : ""), callable_mp(this, &EditorSceneTabs::_global_menu_scene), Callable(), i);
		}
		if (show_rb && EditorNode::get_editor_data().get_scene_root_script(i).is_valid()) {
			scene_tabs->set_tab_button_icon(i, script_icon);
		}
	}
	if (DisplayServer::get_singleton()->has_feature(DisplayServer::FEATURE_GLOBAL_MENU)) {
		DisplayServer::get_singleton()->global_menu_add_separator("_dock");
		DisplayServer::get_singleton()->global_menu_add_item("_dock", TTR("New Window"), callable_mp(this, &EditorSceneTabs::_global_menu_new_window));
	}
	if (scene_tabs->get_tab_count() > 0) {
		scene_tabs->set_current_tab(EditorNode::get_editor_data().get_edited_scene());
	}
	const Size2 add_button_size = Size2(scene_tab_add->get_size().x, scene_tabs->get_size().y);
	if (scene_tabs->get_offset_buttons_visible()) {
		
		if (scene_tab_add->get_parent() == scene_tabs) {
			scene_tabs->remove_child(scene_tab_add);
			scene_tab_add_ph->add_child(scene_tab_add);
			scene_tab_add->set_rect(Rect2(Point2(), add_button_size));
		}
	} else {
		
		if (scene_tab_add->get_parent() == scene_tab_add_ph) {
			scene_tab_add_ph->remove_child(scene_tab_add);
			scene_tabs->add_child(scene_tab_add);
		}