### 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
return root;
}
TreeItem *Tree::get_last_item() const {
	TreeItem *last = root;
	while (last) {
		if (last->next) {
			last = last->next;
		} else if (last->first_child) {
			last = last->first_child;
		} else {
			break;
		}
	}
	return last;
}
void Tree::item_edited(int p_column, TreeItem *p_item, MouseButton p_custom_mouse_index) {
	edited_item = p_item;
	edited_col = p_column;
	if (p_item != nullptr && p_column >= 0 && p_column < p_item->cells.size()) {
		edited_item->cells.write[p_column].dirty = true;
	}
	emit_signal(SNAME("item_edited"));
	if (p_custom_mouse_index != MouseButton::NONE) {
		emit_signal(SNAME("custom_item_clicked"), p_custom_mouse_index);
	}
}
void Tree::item_changed(int p_column, TreeItem *p_item) {