The Rescue of Damien Nazario takes place in Perfect Match, Book 2, Chapter 3.
Prelude
Following the Destruction of the Eros Arctic Facility, the group finds that Damien has been replaced with a Match. They are hiding in Paris, France, pondering their next move when Sloane disables Eros's remote access into Dames, and Cecile has a courier drop a flash drive on Nadia while she's working. From the flash drive, the group deduces that Damien is being held in Japan. Nadia contacts Alana to apprise her of the situation, and after Alana, Dames, and Your Character shake down Remy Fournier, Alana comes up with a lead of where Damien may be.
Rescue
The group breaks into the Eros Corporation warehouse in Tokyo, Japan where Sloane is in charge of surveillance, Hayden is her bodyguard, Nadia is the getaway driver (with Steve if he had been recruited in Book 1), while Your Character, Alana, and Dames search for Damien. They are able to find Damien and prove to him with difficulty that they are not Matches but real humans. Damien is relieved to be reunited with his friends and surprised to see the Match copy of himself. They try to escape only to be stopped by Steve (if he was not recruited in Book 1); you are able to subdue him with the help of the group and take him (to reunite with Nadia and to check and possibly reverse his new programming).
Your team is then stopped by Harley and more guards, and a fight ensues. Cecile overrides Dames's programming with her tablet and takes control of him, ordering him to bring you and your team to her. Damien breaks Cecile's hold on Dames by reminding him of the origin of his name. His personality program overrides the direct command, and Dames decides to stay behind to fight and encourages the group to go, sacrificing himself to stop the rest of the guards from pursuing the group.
Aftermath
After escaping the Eros warehouse, the group returns to their hotel room to recover. Alana leaves, as she only promised to rescue Damien and not become part of the group's mission to bring about Eros's downfall. Nadia either relaxes alone with Steve (if he had been recruited) or talks to him alone to remind them of the past that they experienced that Eros had erased (if he had not been recruited in Book 1). Meanwhile, Damien suffers from post-traumatic stress disorder, and Your Character has the option to help him talk through what he went through during his detainment. Damien remembers a piece of information from his ordeal there – the name "Richard Cummings" – and with that, the group determines that Khaan Mousavi has been working under different alias, trying to leave Eros behind. The group also knows Eros won't stop pursuing him to find him and force him to help their evil plans.
Sloane finds Khaan in San Francisco under the alias "Brett Deveroux", so the group flies back to the United States to find him and enlist his help. After much persuasion, Khaan agrees to join the group.