How to add theme switcher for docs as well as for stories

[GerroDen]

Summary

Hello,

we had some issues with the theme plugin and their decorator and decided to give it a try ourselves to improve this. We figured out to easily make the same menu with globalTypes (docs) and adjusted our own decorator to set a data attribute just like withThemeByDataAttribute did (docs). This was easy.

What we are missing is to also change the docs theme to dark and light, because the component styling is better visible for dark on a dark docs page and the light theme on a light docs page (and it's also more stylish that way).
We tried to set the story parameters with useEffect but this is executed too late and applied only on 2nd rendering of the page. Is there a way to programmatically change the docs' theme state like it is possible with the manager API for the whole surrounding storybook?

Additional information

No response

Create a reproduction

No response