Getting to Vegas: Southwest Airlines advertises $100 flights to Vegas all the time. Don't rent a car because almost every resort charges ridiculous parking fees. Besides, you can walk the entire length of the strip.
Staying in Vegas: A lot of the video was filmed at the Bellagio, one of the most expensive hotels on the strip, but that doesn't mean they stayed there. They most likely stayed at a much cheaper hotel, hence no video of the room itself (if you're fishing for clout, you'd show off a room at the Bellagio). The cheapest hotel nearby would be the Excalibur with rates as cheap as $34/day during the week. That brings up another point: there's no telling when they filmed. If you're smart and visiting Vegas, book your visit for Monday-Thursday, because that $34/day rate can shoot up to $234 on Fridays and Saturdays.
Food: Yes, Las Vegas has steakhouses, Hell's Kitchen, and Nobu...but it also has White Castle, In-and-Out, and grab-n-go places at the hotel.
The helicopter ride: Here is where the real cash is thrown. They most likely took a Maverick flight package at $470/person. They do a fly-by of the Hoover Dam and land on the Indian reservation (hence the teepee). There's really no way around the cost unless you sit through a fucking timeshare presentation so you get it for free. It's expensive as fuck, but it's also the only thing I saw that cost actual money in the video. Everything else was them walking around the Belagio or the Shops at Cesar's. They also did it late at night when the shops were all closed.
Total cost of the Tesch trip if you're being smart (not including food and an Uber to/from the airport): $850/person. Definetly doable if you're planning a trip a year out.