### 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 (!parent || parent->children_cache.is_empty()) {
		return;
	}
	TreeItem *scan = parent->first_child;
	int index = 0;
	while (scan) {
		DEV_ASSERT(parent->children_cache[index] == scan);
		++index;
		scan = scan->get_next();
	}
	DEV_ASSERT(index == parent->children_cache.size());
}
#endif
void TreeItem::move_before(TreeItem *p_item) {
	ERR_FAIL_NULL(p_item);
	ERR_FAIL_COND(is_root);
	ERR_FAIL_NULL(p_item->parent);
	if (p_item == this) {
		return;
	}
	TreeItem *p = p_item->parent;
	while (p) {
		ERR_FAIL_COND_MSG(p == this, "Can't move to a descendant");
		p = p->parent;
	}
	Tree *old_tree = tree;