American Home Shield [AHS] review: Attempt to fix my swimming pool equipment

I have had an ongoing problem with my swimming pool since april. On six different occasions american home shield has sent out technicians the problem has yet to be resolved. They seem to put a band-aid on it, which holds for a few weeks and then it returns to malfunctioning not pumping water. They have replaced the pool pump that did not resolve the problem. I have had a professional pool person look at it and he recommends that the filter system be changed. I have consulted with my local, swimming pool repair shops, and they suggest the same thing. I was simply like for american home shield to not try and repair the filter, it’s not working the whole thing needs to be replaced. I live in arizona it has been over 100° every day for the past 15 days. The water in my pool is getting greener each day.