I want to intentionally piss off my crazy neighbour so that she goes mental so I can get her kicked out
Are you sure you can get her kicked out?
I think so, she often complains that she's the victim of the people around her who are plotting against her
It's more important to be friendly and accommodating than to be "right.". Respond to any complaints or requests the way you'd like them to respond to yours.
Nah, she's a fail at life. She had no problem being friendly in the first place.
If she is mentally unwell, you should not try to antagonize and start a fight with her. You should show some kindness and treat her with compassion as she seems to be going through a lot.