### Godot version

4.1 Beta 3

### System information

Win10

### Issue description

In the Godot 4.1. Beta3 Scene Panel, node names are overlapping the icons to the right. Like visibility icons, script icons ...
Especially apparent with longer node names:

https://github.com/godotengine/godot/assets/47016402/61cc8c75-efe5-4cfa-ac4f-5fcd4805140b

This is _not_ an issue in Godot 4.0.3:

https://github.com/godotengine/godot/assets/47016402/4035ea3f-80bd-479d-9d6f-761debdd6b49



### Steps to reproduce

Give long node names and resize the Scene Panel

### Minimal reproduction project

N/A
ERR_FAIL_NULL(p_item);
	update_scrollbars();
	
	const Size2 area_size = _get_content_rect().size;
	int y_offset = get_item_offset(p_item);
	if (y_offset != -1) {
		const int tbh = _get_title_button_height();
		y_offset -= tbh;
		const int cell_h = compute_item_height(p_item) + theme_cache.v_separation;
		int screen_h = area_size.height - tbh;
		if (p_center_on_item) {
			v_scroll->set_value(y_offset - (screen_h - cell_h) / 2.0f);
		} else {
			if (cell_h > screen_h) { 
				v_scroll->set_value(y_offset);
			} else if (y_offset + cell_h > v_scroll->get_value() + screen_h) {
				v_scroll->set_value(y_offset - screen_h + cell_h);
			} else if (y_offset < v_scroll->get_value()) {
				v_scroll->set_value(y_offset);
			}
		}
	}
}
void Tree::set_h_scroll_enabled(bool p_enable) {