The soonest you can get this in the Awakening campaign is Crossed Signals. You'll need to upgrade every possible tower twice. It does NOT have to be in a single game.
Gun: G-100, Y-200, R-400
Inferno: G-150, Y-300, R-600
Laser: G-200, Y-400, R-800
Temporal: G-300, Y-300, R-300
Meteor: G-250, Y-500, R-1000
Cannon: G-200, Y-400, R-800
Tesla: G-175, Y-350, R-700
Missile: G-225, Y-450, R-900
Concussion: G-275, Y-550, R-1100
Command: G-300, Y-300, R-300
The achievement will unlock during the game as soon as you build your final upgrade.