CONSTRUCT: When building your force, you may attach a construct (Lantern) to this character by paying its point cost. Give this character a power action and replace the construct with any other construct, up to 2 points higher than the original construct. If this character has no action tokens and the new construct is a lower point value than the original construct, this is a free action instead.

Does this count towards your relic slot, I would assume not?

Its not a relic, their like word balloons for Lanterns.