This deck is definitely working for AI3. You would be pretty safe after you put up the dissipation shield.
Photons are indeed better than Lycans in deck building, but I guess you need Lycans so that it fits the mono-entropy theme?
Anyway here is n 30-card deck, including Butterfly Effect.
4vc 4vc 4vc 4vc 4vc 4vc 4vc 4vc 4vc 4vc 4vc 4vc 4vc 4vd 4vf 4vf 4vf 4vg 4vi 4vi 4vi 4vk 4vk 4vk 4vl 4vn 4vo 5l9 5l9 5l9
This deck gives more control. Switch 1 Photon for Dragon may be faster though. Or switch for one more shield to be safer.