The Red Tornado has seemingly been restored to life. While most of the Justice League of America, and Hawkgirl, are thrilled to see the Red Tornado, Superman has doubts. The first time the Red Tornado came back from the dead, it was as a pawn of T.O. Morrow. The Phantom Stranger mystically probes the Red Tornado's consciousness, but his findings are inconclusive. Superman tests the Red Tornado with three questions. The Red Tornado answers all the questions correctly, but he should not have known the true answer to the third question. The ruse revealed, the Red Tornado attacks the Justice League of America, and the Hawkgirl.
The Hawkman, and the Hawkgirl, subdue the Red Tornado. The consciousness animating the Red Tornado's body departs, leaving behind the lifeless shell of the Red Tornado. The Justice League of America, and the Hawkgirl, suspect the involvement of the Construct. The Hawkman proposes that the Hawkgirl be granted membership in the Justice League of America. Superman states the team's by-laws, wherein prospective new members cannot duplicate existing members powers or skills. The Hawkman threatens to resign from the team, unless the Hawkgirl is granted membership. The Phantom Stranger suggests tabling the discussion until the current crisis has been dealt with, and then departs.
The Justice League of America, with the Hawkgirl, split into two teams, to mount their investigation. Unseen by the departing heroes, the Red Tornado's lifeless body stirs. The Batman, the Green Arrow, and Superman journey to Atlantis, to confer with Aquaman, and the Atom. The team discuss the Construct, in an Atlantean War Room, cut off from all technology. The Construct III activates an Atlantean defensive cannon, and fires on the war room. With Superman protecting the Justice League of America, Aquaman destroys the cannon. The Atom determines that the Construct is in Manhattan. The Red Tornado struggles to stand.
The Black Canary, the Hawkgirl, the Hawkman, and Wonder Woman travel to Themyscira, to probe Wonder Woman's memories. The domination of the Red Tornado was similar to Wonder Woman's own domination, during a prior case. Wonder Woman now suspects the Construct to have been behind her domination, as well. The Red Tornado struggles to fly. The Hawkman reaffirms his desire to see the Hawkgirl in the Justice League of America. Should a conflict arise with the current tradition for membership, the Hawkman will support the Hawkgirl, regardless of the consequences. Wonder Woman's memories are restored. She was dominated by the Construct II.
As the Construct II was destroyed in that encounter, Wonder Woman now knows that they face the third incarnation of their foe. Wonder Woman also knows where to find the Construct III, in Manhattan. The Justice League of America, with Hawkgirl, reassembles in New York, then storm the basement of the World Trade Center. The Green Arrow discovers the Contruct III's hidden lair. The Justice League of America, with the Hawkgirl, attack the Construct III, but they're too late. The consciousness of the Construct III has already departed it's physical shell. The Red Tornado joins the Justice League of America, and the Hawkgirl. The Red Tornado declares that he is his true self once again.
The Justice League of America does not believe the Red Tornado, suspecting that he is still a pawn of the Construct III. Superman departs for Metropolis, taking Aquaman, the Atom, the Batman, and the Green Arrow with him. The Black Canary, the Hawkgirl, the Hawkman, and Wonder Woman are left behind to watch over the Red Tornado. The Red Tornado offers an impassioned speech to plead for his comrades' faith in his revival. The Hawkgirl is the first to believe the Red Tornado, followed quickly by the Black Canary, then Wonder Woman. The Red Tornado is able to track the Construct III through the mental link established by it's domination over him.
The Construct III has taken over all the electrical systems at the Galaxy Broadcasting Building. Worse, the Construct III has placed Aquaman, the Atom, the Batman, the Green Arrow, and Superman under it's mental domination. The Construct III prepares to dominate the city through the broadcast transmissions of the Galaxy Broadcasting Network. The Red Tornado confronts the Construct III. Thanks to the faith of his fellow Justice League of America members, the Red Tornado triumphs over the Construct III. Wonder Woman uses a piece of Amazon technology to prevent the creation of a fourth Construct. The Red Tornado returns to active status with the Justice League of America. The Hawkgirl is granted membership in the Justice League of America.
"100 Issues Ago In...Justice League Of America" reprints material from Justice League of America #46 (August, 1966). A plot summary for that story can be found at the link.