Multi Color 2: E2-1, H1-1, H6-1, I2-1, B4-1, E4-1 on 1
Coloring is a unary (single value) forcing chain of regions with two places for 1, so 1 must either be in the greens or the blues. Hence any 1 that sees two colored 1's is history:
Therefore we can remove A6-1, B6-1.