I started here and have a very similar problem...
www.joomlapolis.com/forum/professional-members-support/244920-solved-joomla-4-cannot-update-user-profile
Unfortunately their resolution was found by unpublishing a menu item which didn't help me.

I'm nearing the end of migrating this website to Joomla 4. CB was my last check. I can view my profile, but when I try to edit the profile it shows the "view" view and not the "edit" view. Turning off SEF fixes the problem (but that's not a solution). Turning off URL Rewriting has no effect. I have no other CB menu items pointing to "edit profile"... not even trashed.

I just just tested other CB menu items and discovered that they do not work either unless I turn off SEF URLs. The below shows the menu name followed by access in parentheses and what is happening.
Login (guest), Create New Account (guest), and Forgot Login (guest) all show nothing... meaning the main body has nothing - there's just the header and footer on the page.
View Profile (user), Edit Profile (user), and Logout (user) all show profile view

I was using PHP 8.1 and had switched to 8.2. So I switched back to 8.1 and even tried 8.0 with no change in luck.

I know it's the holidays and may take you some time to reply. I've made the website live, but removed the display of the CB links from the "My 3D" menu. They are still active. Links are pasted in confidential area. I replaced them with non-SEF URLs so clients can access account functions.

Something quirky is going on then. I assume this is being caused by my migration from Joomla 3 to 4 because I've found other random bugs like access being changed from one group to another. I wouldn't have unpublished that plugin. You said that you published it, but when I went into the admin today, it was unpublished. I keep getting "The most recent request was denied because it had an invalid security token. Please go back or refresh the page and try again." when trying to login so I checked to see if there were any other plugins that may need to be turned on. I saw a CB redirect plugin that was off so I turned it on. Now everything in my Admin gives me a "Class "JError" not found" message.

Everything was updated before the migration. I know a tool isn't needed for migration, but I chose to use MigrateMe 4 to save some time.

I followed your instructions to remove the redirect folder and reinstall. But when I went to publish the plugin, I had the same "Class JError" result.