Episode 9 of "Hoshikuzu Telepath" follows the emotional journey of Umika and her friends during a model rocket competition. The episode begins with a successful launch by Kei's team, setting a high standard for the competition. When Umika sees the success of Kei's team, she becomes worried about her own team's performance.

Umika reflects on her participation and admits that her speech wasn't as convincing as Kei's and that they didn't make it past the qualifying round. Matataki is visibly upset about their loss, and Haruno's attempts to comfort her fail due to their differing views on loss and victory. Similarly, Yu tries to console Umika, who struggles with feelings of inadequacy as a leader and expresses a wish to have been more like Kei.

The next day, Umika's sister sends her out to run some errands. On her way back, Umika meets Kei in a nearby park and has a heartfelt conversation with her. Kei praises her launch, but Umika voices doubts about her leadership skills. Kei encourages Umika to share her inspiration for building rockets with her. When Umika hesitates about whether she can achieve her dreams, Kei reassures her, suggesting that Umika may have already found her place.

Inspired by Kei's words, Umika decides to return to the lighthouse to apologize to Yu. When she finds a note at the entrance, she waits for a while but eventually realizes Yu is no longer there. As Umika calls out for Yu, Yu responds, and the two spend the night together, talking about Umika's inner light and Yu's home planet. Yu sings a song from her youth, creating a poignant moment.

The episode ends with Umika thanking Yu for reigniting her passion.