Do robot drawings fall under the forbidden depiction, especially since they are inanimate objects and do not possess souls? And does the hadith "The image is the head, so if the head is cut off, there is no image" apply to them?

It is not permissible to draw robots that are in the image of humans or other animate beings, because that is considered drawing an animate being. However, it is permissible to draw robots with incomplete features, such as a missing head, or those that do not resemble living creatures.