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Which build of Windows 10 are you using? Check this topic, perhaps it will solve the problem for you:
https://tweaker.userecho.com/topics/959-could-not-load-library-5
What version of 7+ Taskbar Tweaker are you using? According to the message, it's not the latest version. Please update to the latest version and see if it solves the issue.
Sorry, but I don't speak French.
Please provide the exact error message, as well as the version of your explorer.exe file.
The actual file is in C:\Windows, but the version of all of the explorer.exe files is the same. According to the version, you're using an insider build of Windows 10. You need to use the beta version of 7+ Taskbar Tweaker with an access code. Check out the beta version changelog and read about 7+ Taskbar Tweaker and Windows 10 insider builds.
Please check again, it should have a five-digit number after 10.0.
Or just make a screenshot of the file properties of explorer.exe.
There's no registry option for that. Also see the FAQ on the tweaker's website.
As for the failure, what's your version of 7+ Taskbar Tweaker? What's the version of your explorer.exe file?
Great, I'm glad you found and fixed the issue.
The stack trace that you posted looks unrelated to the tweaker. You can see inject.dll in there, but that's only because the tweaker hooks some of the explorer windows, so the messages go through it.
I see another thread on my computer which can be contributed to the tweaker, and it looks like this:

That's the mouse hook thread, and it's only running when one of the mouse-related tweaks is enabled (The "Mouse wheel" section on the upper right corner, and several advanced options).
For a start, try to disable the mouse-related options of the tweaker, and see whether you see any change.
Kundesupport af UserEcho
There's a way to achieve this, please see my answer here:
https://tweaker.userecho.com/topics/287-ability-to-run-application-or-even-better-trigger-a-media-button-on-clicking-on-empty-taskbar-space