If you can provide better drawings or an external reference to better represent your project, I am willing to help. The hand sketches are insufficient to create a part/model. The reference to the other person's creation is blurry and indistinct and shows, as I've noted, a planetary gearset driving a shaft with a flag/pointer attached. None of this represents a one tooth gear.

https://www.youtube.com/watch?v=NjkxXOxhNkE

the above video presents itself as a pair of single tooth gears, but the sole comment in the video denies that claim.

An internet search for "single tooth gear" returns nothing.

More accurate information is required.