We review the status of the RBC & UKQCD collaboration's lattice calculations of direct CP violation in $K\to\pi\pi$ decays, and discuss the implications of recent results showing that periodic boundary conditions coupled with modern multi-operator methods offer a competitive approach to the G-parity boundary conditions previous employed. We then present early, preliminary results for a second, finer-lattice-spacing calculation of the $I=0$ $K\to\pi\pi$ decay amplitude in the 3 flavor theory with physical kinematics and G-parity boundary conditions. This new calculation will enable a continuum limit extrapolation, reducing/eliminating the significant finite-lattice spacing systematic error on our previous result.