You can't solve it with a simple circuit based on just the signals from the lights: the truth table shows why:
L R C
0 0 0
0 1 ? is this brakes on+left blinking/off, or brakes off+right blinking/on?
1 0 ? (similar)
1 1 1
L=left brake/indicator
R=right brake/indicator
C=centre brake light
But if you feed the brake light back into the inputs then you can (I think) solve it from this truth table:
L R C'C
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 1
1 0 0 0
1 0 1 1
1 1 0 1
1 1 1 1
C' is the previous state of the centre brake light, so this is just LR+LC'+RC'.