Your comments
Please provide more details, if possible, in English. Attaching a screenshot will help, too.
I've sent you an email. Feel free to contact me if you didn't get it.
Please try the newly released beta version, 5.8.0.5, I believe it should be fixed. Let me know whether you still see the problem.
Please try the newly released beta version, 5.8.0.5. I believe it should be fixed.
Please see this topic:
https://tweaker.userecho.com/topics/1002-if-you-have-7-taskbar-tweaker-installed-and-update-your-windows-10-to-the-new-2004-version-it-will
Closing as duplicate.
Windows 10 Version 2004 (Released May 27) Support Status
- Latest release version, 7+ Taskbar Tweaker v5.8, October 21:
Latest supported version is Windows 10 version 1909.
Windows 10 version 2004 is not supported.
A new version compatible with Windows 10 version 2004 is being worked on. - Latest beta version, 7+ Taskbar Tweaker v5.8.0.4, April 24:
Windows 10 version 2004 is partially supported, most options work.
An access code is needed to activate the insider build support. See this blog post for more details. Click here to get an access code.
Please check your settings in Taskbar Inspector to see whether you have a specific configuration set for Edge. Image:

If not, please post a screenshot that demonstrates the problem.
Customer support service by UserEcho
Does it happen every time?
Does it happen if you disable all of the tweaker's options?
Does it happen when the tweaker is not running?
Here are previous versions of the tweaker. You said that it started to happen at some point, perhaps the issue was introduced in some version of the tweaker. Knowing which version introduced the problem might help.
https://www.dropbox.com/sh/mcbychsh0xc1dvu/AAC7NwQTQ-tOTNL2BUZ_CwUua?dl=0