If I am not mistaken NOBODY flew it excpet for some test pilots and some Tupolev staff. One of them crashed at a Paris airshow and they never flew again.
It looks like Concorde because it actually WAS a Concorde. Russian spies stole all the blueprints for Concorde over a period of many years.
When it crashed the French secret service was blamed...
NASA has bought one of them and might be using it as a test platform.