Ignoring the tavern is a very bad thing. You should definitely build it on the first day (if you haven't already) and buy at least one hero. Then, I transfer their troops to the main hero, and the purchased hero runs around empty, scouts the territory, and picks up whatever is lying around.
Third, this might also be worth mentioning. Just in case, I'll add that one elementary tactic will significantly reduce losses on neutral creatures: the "Elinich" tactic. You take your first-level hero and separate one creature from it into each new squad. In battle, you use them as a shield to absorb attacks so that the enemies don't touch the other, full-fledged squads.
You also disable retaliatory attacks.
Added 1 minute ago
You can always beat the AI. In the second or third week, it will only buy the basic increase, nothing more. In that time, you can improve 2-3 types of warriors and easily accept its challenge.
So far, I haven't been able to lure it into a siege of my Castle.