At todays Jet 1 A US fuel price of $3.07 per gallon it would cost $108k to fill the Concord. Which holds 120 passengers. That comes out to a cost of $900 per person passenger on a full fight.
If the cost of fuel were double like a few months ago then that cost would be $1,800 per flight.
Compared to a Boeing 737 which has a fuel cost of ~24k at max capacity of 7,878 gallons at todays prices. A passenger limit of 177 and a fuel cost as low as $136.64 per passenger on a full fight.