It's a little bit weird to say, but I went back and read over their conversation at the cafe and near the waterfront multiple times and took notes. I feel like the author must have spent a lot of effort writing this scene. It's really easy to create drama by putting one person in the wrong and playing up the hostility, but with only the well-intentioned blunder of telling a lie, the drama is sustained and resolved because both people are taking good and kind-hearted actions according to what they know.
I feel like a conflict between people with zero malicious intent for each other, and aren't being unreasonable, isn't something that gets crafted by chance.