Not really.
The thing is that Palps cannot afford to Stop the War at this point.
When he activated the order 66 he did it because he had troops in every planet and the local population was too battered to resist.
In this case, he has basically the whole galactic Rim unified, getting stronger and which was basically untouched by the war. The CNS is too powerful to for an easy victory, and that is what he wants, plus literally, every Jedi survivor would flee to the CNS, making the Order 66 significantly less effective and creating basically thousands of Exiled Jedi ready to take Coruscant back
So no I don´t think we are on tight schedule here I think our best option is to wait as much as possible while we try to get Assets, and if we can do it in 5 turn good, if we can do it in 7 even better and so on.
You're thinking of this in too straightforward of an action. Palpatine doesn't have to Stop The War just because he's declaring the war ended. Ok that sounds a little confusing, but it makes sense when you look at it through a broader lens.
The CNS
is a part of the Republic, as much as we truly control it and it doesn't act like it at times. Most of the worlds joined us because they didn't want to be part of the fighting, not because they were truly neutral on the whole Separatists vs Republic thing. A lot of the senators in the CNS actually supported the heavier taxation Palpatine demanded when they knew it was going to the war effort. When the war is declared over, a lot of them are going to want to just fold back into the Republic. And the war's end is looking to be within sight.
The CIS has been taking some heavy blows over this war. The tide has turned against them on the battlefront, the clones defeating their droids and they've been losing tons of territory to our recruitment efforts in the CNS (and it's important to note we've taken more territory from the Seps than the Republic). There's also the massive amount of sabotage we've done to them (we've done some to the Republic as well, but nowhere near as much and in far less public ways). It's pretty obvious that the CIS is losing badly, I don't think they even have any Admirals left after the Trench incident. It won't be hard for Palpatine to 'make the final push' and order Dooku to roll over and let the CIS fall. As the final battle happens, he gives out Order 66 while fabricating some evidence of an assassination attempt.
There aren't as many Jedi with the clones, but the Jedi are still massively outnumbered and ambushed by the clones. We might get more than a handful of survivors, but we aren't getting 'thousands of exiled jedi' if he does this. It will still be a massacre. And he's ok with a couple running towards the CNS, in fact he wants that. When the Jedi join the CNS he'll demand them back to 'stand trial' (read: be killed or turned into his dark jedi minions) and if we manage to resist he'll accuse us of treason.
Dooku isn't going to want to give up, but Palpatine might actually unwittingly order him to do what he would have done in the first place: Join the CNS. Now he can spin a narrative that the CIS realized it was losing the war, so they've been slowly shifting assets over to the CNS, trying to ask for peace so they have time to build up their resources again. A lot of the CIS was big corporations so changing names and acting through different companies is hardly a new trick for them.
If we accept Dooku's assistance (or the public can be made to think we are) then he has plenty of grounds to further the war against us and strengthen his hold. If we reject it, then he sends in 'peacekeeping' troops to help us get rid of Dooku's forces and most of the CNS cheers him for his quick aid. Without the CIS support we do not have the forces to resist his armies (as far as he knows, we still have the Foundry but using that comes with it's own issues).
That's a rough outline, but Palpatine is a master at setting up plans that will benefit him no matter what. And he is certainly not going to wait 5 to 7 turns, that's utterly ridiculous. It was mentioned he'll be making a significant response soon. Even if he still doesn't realize how much we know, he has to realize by this point that we're taking out his pawns in rapid succession. He might not have things perfectly aligned, but he's smart enough to act before it's too late and realize that trying to continue is just causing him to lose more support than he's gaining because of what we're doing.