update you once we received a feedback vs update you once we received the feedback

Some examples from the web:

• I remember once we received a package.
• Yesterday we received a further illustration of this in Denmark.
• In mid-July, we received a visit from some particularly anxious Romanian farmers.
• Commander, we received a communication from Starfleet.
• We received a hang-up from this location.
• We received a reliable tip that turned out to be right.
• We received a phone call that she might be hurt.
• We received a lovely letter from a Captain Reynolds.
• We received a subspace transmission from a Jaffa vessel near P3Y-229.
• We received a communicae from a Goa'uld named Nerus.
• We received a message before the shooting.
• After the drawing, we received a phone call.
• But we received a call for help from you.
• We received a report on a housebreaking.
• We received a call from this address.
• We received a message from the warehouse.
• However... through clandestine means we received a note.
• We received a request for assistance at Cavanella D'Adige.
• We received a call from Kim Seon Hwa.
• We received a report that someone on this boat has been infected with a very serious virus.

Some examples from the web:

• In a few weeks' time, once we have properly analysed all the responses, we will publish the replies, together with a statement on the feedback we received, and before the summer we will outline the different ways of addressing the problem of mass claims.
• I remember once we received a package.
• We received the above notification (Part A) on...
• Then I am quite sure we received the same emails.
• Today we received the final opinion of the legal services about some nuances concerning the announcement.
• We received the request yesterday morning.
• On Friday we received the very tragic news that he had been executed.
• We received the results from the mRNA sequences this morning.
• We received the fax with the information you requested.
• Genshir Kanoya, we received the order to execute Sanosuke Aikawa.
• We received the following letter about an hour ago.
• We received the results from the mRNA sequences this morning.
• We received the shame of failure last year
• It wasn't until this morning that we received the threat.
• We received the body of a woman that was terribly mutilated...
• We received the War Department's R-23 directive a month ago.
• Which i can give you once we make the proper deductions.
• I shall be able to guide you once we're inside.
• Pilot, we'll contact you once we've located D'Argo.
• We'll call you once we find the car.