The memories will cause Sergei to use the last request to save Yoni's life.
Although you haven't shown it, we can see from questions similar to yours that your question refers to Sergei's memories of the requests he had made to the magical goldfish in "What of this goldfish would you wish?"
When we read "What of this goldfish would you wish?" we can find the following information:
These memories cause him to use his last wish to save Yoni's life and although he feels sad that he didn't enjoy any of the wishes, he knows this was the right thing to do.
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