I’m not really happy with this solution, but it is something that could work perfectly fine depending on your particular case.

What I did was to add data-sveltekit-reload to the link of the page which I need the styles to be cleared out, just like this:

<a href="/path-to-page" data-sveltekit-reload>
   Link text
</a>

Keep in mind that this will allow the browser to handle the link, causing a full-page navigation after it is clicked.

Official docs: https://svelte.dev/docs/kit/link-options#data-sveltekit-reload