I don't quite understand the question, can you elaborate?

By trapping them inside his body? Not sure what you're trying to say.

For now, none knows how puppet was encapsulated inside, but there's a video that kinda explains it

It's a fan made video, so don't take it as official, for now, this is the closest video to how Lefty captured puppet

We don't really know how lefty captured the puppet, there isn't really anything that shows that, but there are fan made interpretations of how it happened.

Made a theory about how this happened, using the blueprints

Lefty found puppet somewhere using his navigational sensors, he used the dream wand to sleep the puppet and somehow putting puppet inside his body

Though I don't exactly understand point B.

He used the sensors and false output, the sensors to track the puppet and the false output to trick it into getting close to him then he captured it, the wand is so the puppet doesn’t escape