Recently, I’ve been constantly seeing a “Downloading” status in the bottom-left corner. Is Codex downloading the latest update? This seems to happen daily—does Codex receive a new release every day?
If so, how do I install the update? Does simply closing and reopening the app install it automatically, or do I need to click something? Initially, I thought it was downloading something related to the task I was running. Does anyone know what’s going on?
At this time I would say nearly every day. I do not know how long the trend will continue, but I do foresee the trend continuing for the next several months.
If you want the details backing up this, just take a look at the GitHub Codex repository for commits.
and the Codex Change Log
But how do I install the update? I closed and reopened the app, but it still showed the same “Downloading” status. So, how do I install the update?
The best guidance I can offer is that Codex issues such as this are tracked on the OpenAI Codex GitHub Issues tab.
This is the closest related issue I found through a manual search:
Some related issues also offer possible workarounds.
If that issue matches your problem, consider adding a 
reaction on the GitHub issue page itself, not just on the forum topic, as reactions on GitHub help the developers gauge impact and prioritize work.
If it is not the same issue, try searching the existing GitHub issues for a closer match. If you cannot find one, then open a new issue with as much detail as possible.