hello
thank you very much for your perfect and helpful explanation
but i have a question
you said "all stative verbs are linking verbs"
for example you say in this examples 'think" and "have" are linking verb because they are stative:
I think that coffee is great
I have a car
but I think it's not right because i wrote this sentence that: "How do you tell when they are action verbs and when they are linking verbs?
If you can substitute am, is, or are and the sentence still sounds logical, you have a linking verb on your hands. "
But in this examples it's not possible to substitute am is are

would you please explain it that think and have here are linking verb because they are stative?
my second question is that you say in this sentence "They are arguing " are is linking verb .but it's not correct according definition of linking verbs because "are" doesn't have any connection role.
please explain them.I need your help
thank you very much