What happened
The FAA’s narrative, in sentence case. The FAA writes it in capitals and removes private details.
(-23) Airman departed the Anoka county airport (kane) for the purposes of flight testing his engine that has some recent work completed on it. He intended to remain the traffic pattern at kane while testing his engine. While on downwind for runway 09 for his first landing, the engine "missed" and the pilot noticed that his gas gauge indicated that he had very little fuel remaining in the fuel tank. The pilot began turning towards the runway for landing and also informed ATC that he needed to land immediately due to being fuel critical. The aircraft landed and while it was exiting the runway on the taxiway, the engine stopped due to fuel exhaustion.
As the FAA filed it
(-23) AIRMAN DEPARTED THE ANOKA COUNTY AIRPORT (KANE) FOR THE PURPOSES OF FLIGHT TESTING HIS ENGINE THAT HAS SOME RECENT WORK COMPLETED ON IT. HE INTENDED TO REMAIN THE TRAFFIC PATTERN AT KANE WHILE TESTING HIS ENGINE. WHILE ON DOWNWIND FOR RUNWAY 09 FOR HIS FIRST LANDING, THE ENGINE "MISSED" AND THE PILOT NOTICED THAT HIS GAS GAUGE INDICATED THAT HE HAD VERY LITTLE FUEL REMAINING IN THE FUEL TANK. THE PILOT BEGAN TURNING TOWARDS THE RUNWAY FOR LANDING AND ALSO INFORMED ATC THAT HE NEEDED TO LAND IMMEDIATELY DUE TO BEING FUEL CRITICAL. THE AIRCRAFT LANDED AND WHILE IT WAS EXITING THE RUNWAY ON THE TAXIWAY, THE ENGINE STOPPED DUE TO FUEL EXHAUSTION.