Dooku could not have teamed up with Sidious, and then influenced Qui-Gon to order the clone army. "Always two there are....no more...no less. A master and an apprentice." Dooku didn't team up with Sidious until after Maul was killed, and that was of course, at the same time Qui-Gon died. IF Qui-Gon and Dooku ordered the clone army in co-operation, they didn't do it under Sith influence.