AITAH for not giving my daugher pocket money fór being rude to poor classmate

Hello, i am 42 and I am making good money by owning some local stores, so i decided to give my child good pocket money(50 dollars per week). As onlychild she spends many time with her friends so i wanted her to have enough money for things like cinema. Me and my wife wanted another child but due to problems during giving pregnancy we couldnt.

I thought that we make good job raising her. When she is around us she is angel and we hear from everyone how good raised she is. She is 15

Last tuesday i was sitting at terrace and enjoying my lunch when i saw her coming with some boy and girl from her class. I know that she is supposed to do some project to school with random clasmates picked by teacher so i wasnt surprised that i never saw them before. I get back to my lunch but then i heard my daugher telling to the girl to dont touch anything because she is too filthy. I sat here frozen and shocked. Boy said to my daughter to stop, grap the papers and go ( to the library), but she didnt stop and keeps doing coments about her beign too broke and make fun of her for already having job for broke people.

I regret not doing anything by that time but i was just stunned. When i finally got myself to come down they are alredy on driveway leaving and to be honest i needed to calm down because i was angry, dissapointed and sad. My wife comes home and told her immedietely and she was same dissapointed as me. She starts to blame herself for not giving her correct values.

We thought about it realising thats our Mistake and responsibility. We decided that she need some type of reality check for her own good. My wife is working in one of the shops i own ( she wants and she is very social so its like her dream job). We decided that she would stop getting pocket money and would starts working with my wife after School.

When she cames home we gaved her talk about being rude and about not everybody being blessed with money. We make sure She apologized to the girl from school. She starts to come to the store right after school. She is working only for three days and already being done and pleading us for everything going back to normal but we are convienced that this is what she needs. Today my parents comes for lunch and when my daugher complained about working in store and not getting pocket money they starts to insult us for having money but being selfish and crual to our daughter. We explained what happened and that we wants to make sure she would realize that money arent growing on trees. They didnt take it well and said that she just said facts by insulting her classmate. We just sends them home and we decided to stop financially supporting them after being to ignorant and thinking that insulting someone bacause of money is just talking facts.

I am 100% sure that what we are doing is right but still i would like to hear someone else opinion.