You are giving the Oxford definition of anarchy.
I am using the operational definition that Left Anarchists seem to actually go by, from observation.
Many conservatives need to understand that just because something is called a "law" doesn't make it good, right, or just. Blackstone called an unjust law, "no law." Rebellion against an illegitimate, rogue government and illegitimate, unjust and invalid laws is not anarchy. Rather the rogue government and unjust laws are themselves anarchic and fighting them is a fight against anarchy.
The proof of the pudding is the resulting chaos and confusion of tyranny and rogue governments and laws versus the resulting peace in an open and free society. That confirms what is anarchy & what isn't.