I'm using Adobe Illustrator 2020.
I just can't make points to match. Notice I don't want to merge the lines. I want to put the point of a line to anchor another point from another line.

When I release the point over the other one (when Illustrator is marking an anchor), the point goes elsewhere. But it doesn't want to touch the other point.
I even created a new file to see if the file I was working on was the problem, but it keeps happening.

Here a video of me struggling: