The 3rd edition Chopard’s Jacky Ickx Chrono 6/24 was launched in 2002 and is different from the previous two editions by a large date display at 12 o’clock and luminous hands. It also has 24-H chronograph counter at position 6 o'clock for the first time.

CHOPARD Mille Miglia Jacky Ickx 6/24 Chronograph Mk 3
Jacky Ickx’s signature and two chequered racing flags symbolizing his six victories at the 24H of Le Mans are on the case back. The two flags are also on the dial above the date.
The leather strap has three holes to resemble vintage racing gloves and MoMo steering wheels..
Case: 40.5 mm, stainless steel with Jacky Ickx signature on case back and tachymeter scale on bezel.
There is NO label "Fly-back" on the dial but it has that function. [Editor CORRECTION: This is incorrect. Edition 3 did not have flyback function but it had big date and 24-h chronograph counter]
Movement: automatic Dubois Dépraz Caliber 44560 (based on the ETA 2894-2) with 42-hour power reserve and C.O.S.C. certification
Functions: hours, minutes, seconds; large date, chronograph; 24-hour/second time zone display
Limited Edition: 1,000 pieces in stainless steel and 250 pieces in rose gold.
Price in 2004: was $6,095 for the stainless steel version.
The fly back function button sequence is as you described. Alas - you have a problem...Houston?!? [Editor Correction: No flyback specified]
Regards,
MTF