DOHA — Cooled, modern stadiums. Fans traveling from the Middle East and beyond, to a region anxious to prove it can put on a show and have its own brand of fun. All against doubts about whether women, gays and beer-drinkers will feel comfortable. The 2022 World Cup in Qatar, the wealthy oil- and gas-producing Gulf nation with giant ambitions that belie its size, is shaping up as a unique experience. As plans jump from architects’ tables to lay bricks and mortar on what used to be desert, Qatar officials putting together the first World Cup in the Middle East detailed — in exclusive interviews with The Associated Press — what the fan experience may look like in eight years. THE SCENE With the world’s third-largest proven reserves of natural gas, Qatar has vast riches to deliver its World Cup bid slogan: “Expect Amazing.” Visitors to Qatar’s showcase capital, Doha, will see the toothy skyline rising from what was sand 35 years ago and eye-catching wealth. At night, the souped-up roars of luxury supercars and racers chasing each other on superbikes reverberate off the futuristic steel-and-glass towers. Perhaps only in Doha can one see advertisements such as this in a…