Yes it will work
I will warn you that the Lee CT has a square plastic bushing that is prone to failure
I run two dedicated progressives for my family's AR 15 shooting
Both are set up for Hornady 55 grn fmjbt and 25 grns WC844
Our Lee Loadmaster runs great and has made thousands of rounds
Like all progressives there is some tweaking but once set up its a great .223 machine
My new progressive is a Hornady L&L ammo plant
So far it seems to be as good as it gets and more.....lots more $$$ also
The big step up to a progressive vs a turret is handle puls per round
100 rounds with a classic turret = 300 pulls
300 pulls on either of my machines produces 295 rounds