So it turns out even though I don't have the latest Intel HD graphics driver possible for my processor, I can't install it because I have older, but computer manufacturer customized driver. The latest Intel driver was released in 9/18/2018, while customized driver was released in 9/29/2016. I tried to install newest driver manually but setup was cancelled automatically.
I think the older version of AMD driver worked good for me, but I can't install ot and probably any other driver except Catalyst because as far as I can understand following versions of AMD driver installers automatically download the newest version of driver.
I will try to install Intel HD driver from Dell website even though it has the same driver version number but it was updated in 06/02/2017 according to info in Dell website.
Edit: the outcome is still the same, laptop freezes at the beginning of flashing phase of AMD drivers installation.
Could it be that my GPU is failing? I managed to install one version of drivers yesterday successfully, but had to delete them because of BSOD error which by googling is usually caused because of incompatible 2018/01/08 (if I recall correctly) security update to some of AMD drivers.
And failing GPU would be strange because I found someone on the internet that has identical laptop and has same problem as me installing drivers and that problem occurred at the same day as mine.