I have confirmed this by closing Adguard before the install and keeping it closed since for hours. If I enable AdGuard, it only a few minutes before a BSOD. I have contacted AdGuard about it and they said it is because of the way Bitdefender injects into the AdGuard files. I will try excluding the entire folder tomorrow after I have 24 hours with no BSOD while AdGuard is closed. I am not sure if anyone has posted this before, but I thought I should. The top AV and top ad blocker should work together without issues.
EDIT: I have Bitdefender Free latest version as of 2/1/18. Also AdGuard latest update as of 2/1/18.
I did not see the Free version in the forum at first. Please move if necessary. My bad.