You don't choose a target for Cyclops Superconductor's last ability at the time it triggers. Rather, a second "reflexive" ability triggers when you pay {E}{E}{E} this way. You choose a target for that ability as it goes on the stack. Each player may respond to this triggered ability as normal.

Use the power of Cyclops Superconductor as it last existed on the battlefield to determine the amount of damage Cyclops Superconductor deals due to its reflexive triggered ability.