Well... Let's be real. We just got the admin hero. It takes a turn consistently at stability three to enter a Golden Age- we can't count on having that right away next turn, or at all.
We do NEED to bleed off our excess Martial- if we don't do that via war with the Hathacyn, we're going to have to do that via something like 'Found March' in the upcoming turn most likely. Fortunately, we've probably got the Prestige for that and Marches are great for helping us keep our stability up while engaging in war.
I'd like to just pass on this, gamble we can use that Martial next turn somehow, and hope to get that Golden Age before something that pushes us out of that position comes up. There are probably some other nice options coming up if we can manage to enter a Golden Age with an Admin/Diplo as king- if we knock our stability down now, even if we raise it up another turn he might be too old to preside over the upcoming Golden Age or miss it altogether.