On Saturday, June 22nd, Julia and a freshly shaven Miles attend Daphne's library Story Hour. Daphne is rattled both by Miles's newly revealed handsomeness—poor timing given their agreement to stay platonic—and by Julia's casual mention of their 'asshole parents,' a glimpse into a darker family history Miles usually hides. Julia tells Daphne that Miles has always been relentlessly cheerful by repressing negative emotions, and that he used to drive home every Saturday to take her out for breakfast. Plans coalesce: Ashleigh suggests taking Julia to Barn, while Miles invites Daphne kayaking at sunrise.

The next morning, Daphne waits past five for Miles, and the delay triggers painful childhood memories of waiting for her unreliable father, reinforcing her rule not to wait on people who don't show up. Miles finally arrives with a chai for her and apologizes; her grumpiness fades.

On the water, they let an over-eager couple paddle ahead, joke about them being Miles's 'enemies,' and agree on a no-Petra, no-Peter rule. As the sun rises, Daphne admits she can't keep up, and Miles insists there's no rush. They share quiet reflections about feeling small but connected on the water, and Daphne reveals that libraries are tied to her absent father, who used to take her there during his sporadic visits.

Miles deflects when Daphne probes about his family, saying he just needs to figure out what Julia is running from. After stripping down to swimsuits, Daphne accidentally references Peter; Miles tips her kayak, she pulls him in, and they end up in the water flirting—legs brushing, fingers briefly intertwining—before pulling back. Defusing the tension, Daphne decides she wants to keep paddling toward the island, feeling that reaching it is possible after all.