chore: port design system to inline tailwind

[pluvrt]

✅ Checklist

• I have followed every step in the contributing guide (updated 2023-01-05).
• The PR title follows the conventional-commit convention.
• I have added or updated the tests related to the changes made.

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Changelog

Port the website's design-system library to use inline tailwind.

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Latest commit: e3b54c9

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