Luck & Logic

Yoshichika is obliged to go through a two-day trial period to be reinstated to ALCA, during which he excels at his tests and manages to step on his team leader's toes. Yoshichika meets Olga, and is curious about the special treatment he receives.

After Tamaki is replaced as team leader by Yoshichika, she is devastated. Yoshichika learns from Veronica about how he and Tamaki are not that much different in their respect for life. Veronica must take combat matters into her own hands.

Yoshichika and Yukari discover that Mana was abandoned as a child, and that even now, she hopes to contact her parents again. When a Foreigner shows up that proves too difficult for Chloe and Tamaki to handle, Mana makes a stunning decision.

The ALCA members get some rare time off, and Shiori invites them over to the Tsurugi home under the false pretense that it is Yoshichika's birthday. A misunderstanding drives a wedge between Yoshichika and Athena.

When Veronica's Paradox Sick former trainer, Ash Paxton, is suddenly moved to Sapporo, she tenders her resignation to pursue him. Director Jarno, wary about events taking place at the ALCA lab in Sapporo, charges Yoshichika to protect Veronica.

As the ALCA members improve their skills, Olga feels more and more like he is being left behind without a Foreigner to Covenant with. Lucifer pays a surprise visit to the ALCA Naien office with an unexpected proposal.

Yoshichika and Athena confront Olga and Lucifer for a final showdown atop ALCA Headquarters. The Logicalists and goddesses deal with the fallout left in the wake of the end of the conflict.