I would add that Jedi Council considered Dooku as Mace's superior during ROTS:
The holopresence of Ki-Adi-Mundi flickered in and out offocus as the Cerean Master leaned forward, folding his hands."I, too have reservations on this matter, but it seems that in these desperate times, only desperate plans have hope of success. We have seen that young Skywalker has the power to battle a Sith Lord alone, if need be; he has proven that with Dooku. If he is indeed the chosenone, we must keep him in play against the Sith—keep him in a position to fulfill his destiny."
"And even if the prophecy has been misread," Agen Kolar added, "Anakin is the one Jedi we can best hope would survive an encounter with a Sith Lord. So let us also use him to help usset our trap. In Council, let us emphasize that we are intensifyingour search for Grievous. Anakin will certainly report this to the Chancellor's Office. Perhaps, as you say, that will draw Sidiousinto action."
"Time it is to execute our plan."
"I will personally deliver the news of Grievous's death."Mace flexed his hands. "It will be up to the Chancellor to cede his emergency powers back over to the Senate."
"Forget not the existence of Sidious. Anticipate your action, hemay. Masters will be necessary, if the Lord of the Sith you must face."