It depends on how the puppet works really. What if you had a puppet that mimicked your actions, so you preform the animations from a distance, and the puppet copies you as a type of range weapon. That's how Ghepetto played in Shadow Hearts Covenant, an old turn-based RPG. It's a little difficult to find people using his attacks since he was a more magic oriented character, but I found this small example:
https://youtu.be/OygpWqFoqLY?t=6197
If you held your puppet and they jumped to life to animate with you, that also could be a direction to go in for the job. I just think our community has a difficult time looking based the most obvious iteration of a job's idea, often because of how it worked in a past title, but why limit ourselves?