### 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
int size = get_child_count();
	TypedArray<TreeItem> arr;
	arr.resize(size);
	for (int i = 0; i < size; i++) {
		arr[i] = children_cache[i];
	}
	return arr;
}
void TreeItem::clear_children() {
	TreeItem *c = first_child;
	while (c) {
		TreeItem *aux = c;
		c = c->get_next();
		aux->parent = nullptr; 
		memdelete(aux);
	}
	first_child = nullptr;
};
int TreeItem::get_index() {
	int idx = 0;
	TreeItem *c = this;
	while (c) {
		c = c->get_prev();
		idx++;
	}
	return idx - 1;
}
#ifdef DEV_ENABLED
void TreeItem::validate_cache() const {