Incidentally, here is a script extract from the unused 'Lost Twenty' scene from AOTC which clearly shows what time period they were thinking about with Dooku.
"He disappeared for nine or ten years, then he just showed up recently as the head of the separatist movement."
That line may not have made it to the film but we have plenty that shows that when DOoku was created he was clearly intended to be a person who left the Order AFTER the battle of Naboo.
seems like nothing occur to the JC, they come out as a bunch of morons unable to spot a thing.
After the battle of Naboo they must be on the alert of another sith (other than Maul) knowing they(siths) have returned. If the master was left he would certainly seek a new apprentice, and if the apprentice was left he would advance the rank to a master seeking his own apprentice. But to me it seems by the time of AOTC they havent bothered too much looking for the siths even if they complain about the dark side clouding everything.
In the eyes of the Jedi council, knowing the Siths are out there, Dooku must be a highly candidate as a suspect of being a Sith after the insidents and encounters of AOTC.
well this info we know.
The first clones was ordered by this Sifo-Dyas dude around 10 years ago, Jango was recruited as template to the clone army by a man called Tyranus, so from this WE know Dooku must have been recruited as a sith very much right after his departure from Jedi order.
It is also a fact that the jedis dont know he is a sith by the end of AOTC, but he must be a prime candidate of being one. Knowing there is one sith around after the battle of Naboo, it must dawn on the JC that Dooku may as well have gotten seduced by the surviving sith. After all they know he has joined the dark side, being corrupted by the dark side a seduction towards a sith cant be far away.