Website dark mode isn't always enabled right

### Summary

Refreshing after switching to dark mode seems to throw the website a bit off. I assume it's related to how we fetch that dark mode setting.

### What platform(s) does this occur on?

Web

### SDK Version

any

### Reproducible demo or steps to reproduce from a blank project

TBD

Start by reproducing the issue in the web app: switch to dark mode, refresh, and observe whether the appearance remains correct. Trace how the dark mode setting is fetched and applied; done means refreshing after the switch consistently preserves the selected dark mode.

Written by the indexing model from the issue text.