Wishfulthinking
What a long and damaging circular argument! I would feel tired and bad too.
I know your situation is not easy, money is tight, x-mas is coming. So you are probably stressed. Going in this kind of verbal fights is so exhausting. Is there anything you can do not being caught by this?
I hope you don't mind quoting some lines from the workshop about Circular arguments:
We've all been in them - those horrible
arguments discussions. You know, the ones that make you want to

They go round and round and round.
Your SO doesn't even make sense half the time.
You're not even sure what you are arguing about
They can go on for hours and hours.
No one ever wins them.
Both people get hurt by them.
You want to pull your hair out
Why do they happen?Cause our partners are mentally ill and
have difficulty expressing themselves in clear enough fashion for us to understand.
Cause our partners are mentally ill and
feelings = facts to them.
Cause our partners are mentally ill and
they need to control what they can - us.
Cause our partners are mentally ill and
can't stand to lose.Cause we like to "be right" too.
Cause we can't let it go either.
Cause we need to prove our point.
Cause we are too afraid to walk away from the argument.
Cause we want to hurt them back.
Cause we feel trapped - either literally or emotionally.
Cause we hope that we can change their minds.
Cause we hope that we can get them to understand.
Cause we are co-dependent and need to "fix" them and their flawed way of thinking.