What happened
The FAA’s narrative, in sentence case. The FAA writes it in capitals and removes private details.
(-23) The pilot privacy data omitted stated, that approximately 11:39 local time, departed san juan airport inbound to Miami airport. Shortly after take off, the flight attendant came to the cockpit and reported hearing and feeling a solid "thump" during take-off roll. The pilot privacy data omitted ^ stated he and the co-pilot also heard a noise and they both assumed that noise was from the nose wheel sound going over the recessed runway centerline light which is a common occurrence. Shortly afterwards san juan ATC advised them that someone on the ground observed a tire separate from the airplane during takeoff. After ground personnel identified the tire, the pilot privacy data omitted ^ confirmed that tire was belong to his aircraft. Because there were no abnormalities with the airplane, he elected to continue his flight to Miami where he landed safely.
As the FAA filed it
(-23) THE PILOT ^PRIVACY DATA OMITTED^ STATED, THAT APPROXIMATELY 11:39 LOCAL TIME, DEPARTED SAN JUAN AIRPORT INBOUND TO MIAMI AIRPORT. SHORTLY AFTER TAKE OFF, THE FLIGHT ATTENDANT CAME TO THE COCKPIT AND REPORTED HEARING AND FEELING A SOLID "THUMP" DURING TAKE-OFF ROLL. THE PILOT ^PRIVACY ^ STATED HE AND THE CO-PILOT ALSO HEARD A NOISE AND THEY BOTH ASSUMED THAT NOISE WAS FROM THE NOSE WHEEL SOUND GOING OVER THE RECESSED RUNWAY CENTERLINE LIGHT WHICH IS A COMMON OCCURRENCE. SHORTLY AFTERWARDS SAN JUAN ATC ADVISED THEM THAT SOMEONE ON THE GROUND OBSERVED A TIRE SEPARATE FROM THE AIRPLANE DURING TAKEOFF. AFTER GROUND PERSONNEL IDENTIFIED THE TIRE, THE PILOT ^PRIVACY ^ CONFIRMED THAT TIRE WAS BELONG TO HIS AIRCRAFT. BECAUSE THERE WERE NO ABNORMALITIES WITH THE AIRPLANE, HE ELECTED TO CONTINUE HIS FLIGHT TO MIAMI WHERE HE LANDED SAFELY.