feat: Add storybook test #39
                
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Companion PR on the Storybook side: https://github.com/storybookjs/storybook/pull/32564/files#diff-7ae45ad102eab3b6d7e7896acd08c427a9b25b346470d7bc6507b6481575d519R14-R16
Mostly a copy of the setup we already have in Vite ecosystem CI, with modifications made in the actual scripts. I tested this locally countless times, but someone else should do it too before merging!