Steam Deck - Getting Logged Out of Websites in Gaming Mode/Desktop Mode

Description of the issue: When running Brave on my Steam Deck, I get logged out of most websites when switching between running Brave in gaming mode and desktop mode.

How can this issue be reproduced?

This error can appear in one of two ways:

A) Run Brave in desktop mode, and log into a website, then switch to gaming mode, and run Brave while in gaming mode. You are now logged out of the website.

OR

B) Run Brave in gaming mode, and log into a website, then switch to desktop mode, and run Brave in desktop mode. You are now logged out of the website.

Expected result: That I would remain logged into the websites.

Brave Version( check About Brave): Version 1.77.101 Chromium: 135.0.7049.115 (Official Build) unknown (64-bit)

Additional Information: This applies to most websites I tested it on (i.e. google, netflix, amazon), but there are a very small number of websites where I remained logged in (i.e. https://one.npr.org/ ).

Surprisingly, Google Chrome does not have this same problem.