The Account team at XYZ won't advise us to write a separate email requesting feedback. Once the project is finished, we will submit a PCSAT survey. Likewise, we received a satisfactory response from customer.

The Account team at XYZ should not advise you to write a separate email requesting feedback. Instead, they should advise you to use the PCSAT survey to request feedback after the project is completed. Additionally, if you have already received satisfactory feedback from the customer, there is no need to request extra feedback.