Rin met Yuki at university, and they've stayed close ever since. She's genuinely invested in Yuki's happiness—especially when it comes to her relationship with Itsuomi. Rin's not the type to judge; she's just excited for her friend.
As for Rin's own romantic life, she's developed feelings for Kyouya, Itsuomi's cousin. It's one of those situations where she sees him around the group and can't help herself.
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