Nope they don't know exactly. To know that exactly you have to put specifications on paper and to make everything so that none of your equipments make more watts that it is allowed to do. But that's not the way JPO work.But at least now they know exactly what they need out of their engine and cooling systems, so they will know how to manage that with the correct engine upgrade.
Since we know how efficient The JPO are on this subject, in fact they discover the reality at each new TR at the very first flights.
And for the TR3 there are in fact much more hardware versions. With or without new radar, with or without new engine, with or without new cooling system, with or without new eodas, new EW, ....
I will change my mind on that when I will ear Raytheon or BAE said that they are on spec. Not that they are 10% more efficient on such or such point.