Collocations for puppet - noun

finger, glove (BrE), hand, shadow, sock
wooden

manipulate, work
a puppet controlled by strings
How do you work these puppets?

make

play, show
theatre/theater
master

mere (esp. BrE)
The president is a mere puppet of his prime minister.

control, manipulate
He's become a puppet manipulated by the government.

government, king, regime, state