### 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
if (hide_root == p_enabled) {
		return;
	}
	hide_root = p_enabled;
	queue_redraw();
}
bool Tree::is_root_hidden() const {
	return hide_root;
}
void Tree::set_column_custom_minimum_width(int p_column, int p_min_width) {
	ERR_FAIL_INDEX(p_column, columns.size());
	if (columns[p_column].custom_min_width == p_min_width) {
		return;
	}
	if (p_min_width < 0) {
		return;
	}
	columns.write[p_column].custom_min_width = p_min_width;
	columns.write[p_column].cached_minimum_width_dirty = true;
	queue_redraw();
}
void Tree::set_column_expand(int p_column, bool p_expand) {