The game in question is Ghost Squad, a 2004 light gun shooter from Sega. The action's taking place in a Thai arcade. And note that, in addition to the theatrics, he's also awesome at the game, playing through the whole thing with a single credit.
If the name sounds familiar, that's because there was a recent-ish Wii port of the game. And yes, it's the one with the dolphins.
"You might think it is a very specific kind of madness that I bought a Wii U in the winter of 2017, but it was with good reason. While many people are off gallivanting with their Nintendo Switches and making all kinds of hot passionate love with its many critically acclaimed releases, I was delving into Nintendo’s motion-controlled past. One of the many games worth mentioning is Ghost Squad for the Wii."
"Every action mattered in Ghost Squad. Players needed to rely on each others accuracy. Adjust your shot on the fly, using the gun peripheral." -KJ of Play Legit Writes
Even ten years on, Ghost Squad remains one of the very best videogames of its kind.