Mouses are (relatively) cheap-p-p devices (see what I did there?)
I will admit that my experience with Logitech mouses is not 100% good.
The double-click issue doesn't affect every model (nor every LT mouse)
I had one that had a sticking right-click that I gave up on, and trashed.
I did have one that was inadvertently double-clicking, and fixed that mouse with the double-click speed setting change. That's the reason I suggested that you try it. I DON'T suggest that will fix a mouse with a hardware problem.
I DO suggest removing any Logitech software, if you use it, which is a fix that also works for some. In about 15 years that I have used Logitech mouses, the software has never been good, just acceptable (usually

)
But, why the need to make this work? Move on to another brand.