Mixing Warm and cool leds

[videoman]

Building a lamp that needs 3 settings of 3200K, 4500K and 5200K. Can I mix the warm and cool leds only to get also the neutral (approx.) I plan to use Cutter's XP-G's in the 7B4 and 3A0 bins ( 6 of each) or similar. The output color temp doesn't have to be exact but as close as possible. Planning on a 3A buck driver with dimmer along with a 3 way switch. I have all the wiring diagram but just wondering if this is the best approach. My aim is 2000 lumens @3ft.