Puppets have an origin marker (dotted circle). You need to add drag handles yourself (solid circles with “Draggable” tag added). The one on the left is an origin, the one on the right is a dragger.
The circle with 4 arrows/triangles below the rig panel can be used to add draggers (it adds a handle and tags it immediately with the "Draggable" tag for you).
I don’t recommend adding the Draggable tag to the origin marker - I recall there being some problems that can occur if you do so. The origin is important for things like scale X and Y values, rotation, where things pivot from for independent layers. So the position of origins do matter, so keep them separate to your draggers (which you position in the best place for dragging the chracter) is my recommendation.