ReactDevTools extension doesn't work in private Firefox windows [DevTools Bug]:

Website or app

reactjs.org

Repro steps

1. Install the ReactDev tools extension for Firefox ( I am running Firefox Dev edition Version 104.0b5 on Debian-Linux)
2. Allow the extension to run in private WIndows by going to Add-ons and themes (Ctrl + Shift + A)
3. Visit any website running a development or production of React in Firefox(I have tested Firefox dev Edition and FirefoxESR)
4. Open Firefoxdevtools and visit the components tab added by the Reactdevtools extenstion
5. I have tested a local dev build and a production build of React, and weirdly it works in non-private windows. But in Private windows, it doesn't see that the page uses React.
6. Below is a screenshot of what I see on both websites
7. 

How often does this bug happen?

Every time

DevTools package (automated)

No response

DevTools version (automated)

No response

Error message (automated)

No response

Error call stack (automated)

No response

Error component stack (automated)

No response

GitHub query string (automated)

No response

Start by reproducing the reported steps in Firefox Developer Edition or ESR, first in a normal window and then in a private window, and compare the React DevTools Components tab. Investigate the React DevTools extension's private-window behavior; done means React applications are detected and the Components tab works in private windows as it does in normal windows.