[PUP.Optional.Legacy persistent, will not go away]

Hello,

I am having trouble with PUP.Optional.Legacy in Chrome. Tried multiple scanners, only AdwCleaner detects it

I've been battling this beast for a while now. What I've done so far: I've clean installed windows twice. I have reset chrome settings multiple times. I have reset chrome sync multiple times.I have deleted cookies, preferences and all files from %LOCALAPPDATA% for Chrome. I have installed Chrome from the offline installer. I have cut the internet connection and did all of those steps again. 

I've narrowed it down to this:

At first I thought it comes from my profile/sync. But I have done the steps below, without internet connection and it keeps coming back. It is somehow connected with the search engines/search providers of Chrome and/or Chrome settings. I can clean it with AdwCleaner, or manually remove the search engines from Chrome settings and it seems to disappear. But even if it does, after a few minutes, Chrome starts lagging, freezing a lot, and loading pages very, very slowly. I can tab out of Chrome and go to another browser, enter the web site and it will fully load, while in Chrome it is still loading. I run a scan with AdwCleaner - nothing, but I know it's there, my browser is lagging so bad... 

Here how it always comes back.

Every time I click on "Reset settings" in Chrome, the adware/virus comes back.

This additional search engines appear in the settings:

And after a scan, these are the results:

And here is the Log File from the scan:

AdwCleaner[S70].txt

I am not smart enough to handle this on my own. I need help.