Tried a complete reinstall and also what you mentioned.
I too had probs on Chrome like frequent logging out on websites And websites loading loop on Firefox.
Dont know if the prob was Adguard, Kaspersky Internet Security or my Internet or any incompatibility between Adguard & KIS? The prob solved automatically the next day or so. Mine was Adguard default filters/settings And KIS HTTPS scan disabled.
If I remember correctly, if you have Kaspersky or Eset installed, Adguard "WFP Driver" option is disabled by default on Adguard install.
I tried with Avast Internet Security installed And "WFP Driver" option was enabled by default on Adguard install.
I asked avatar on Wilders And he mentioned compatibility is much better with Avast.
I tried Adguard with AIS & didn't noticed any probs.
Do you get the probs without any 3rd party security software installed too?