Why didn't Dooku kill Anakin

https://youtu.be/9pI8IkWa3LQ

1:05 why didn't Dooku use Force lightning or something to kill Anakin or earlier when they weren't paying attention why didn't he use force choke or Force lightning to take he and kenobi out?

Because he couldn't and Sidious would murder him? Just a thought.

Bad writing? It is a kids show. Okay well no it is very far from being a kids show, but still...bad writing. Or he was under orders not to do so.