Question about Wolf-Garten P 262 multi-star

I have ordered this set + an additional long handle and am expecting delivery in the next few days. But now I notice the following: In picture number 1 you can see the handle, the trowel, the small fan broom, the cultivator and a small five-toothed rake. In picture number 2 you can see the double hoe mentioned in the description instead of this rake. This is also shown / described on the Wolf website. Since a double hoe is much more useful than such a tiny rake and is also needed in allotment gardening, I hope that it is indeed included in the set. Do you know more about it?