the reason the tyre blew was because another plane left some debris on the runway.
from wiki,
On 10 April 2003, Air France and British Airways simultaneously announced that they would retire Concorde later that year. They cited low passenger numbers following the 25 July 2000 crash, the slump in air travel following the 11 September attacks and rising maintenance costs. Although Concorde was a technological marvel when introduced into service in the 1970s, 30 years later its cockpit, cluttered with analogue controls and dials, looked dated, as there had been little commercial pressure or reason to upgrade Concorde due to a lack of competing aircraft, unlike other airliners of the same vintage, for example the Boeing 747. By its retirement, it was the last aircraft in British Airways' fleet that still had a flight engineer; other aircraft, such as the modernised 747-400, had eliminated that role.