What is the name of this vest?

I'm currently watching the Netflix series "Van Helsing". In the first season Axel, the Navy, has a military vest on. The question arises to me how one calls these vests. Of course military vest is synonymous clear to me but what kind. There are differences. I would like to buy one myself for the purpose of carnival or similar.

Have a look for a few seconds, if you mean the first guy with vest: plate carrier. Carnival is cheaper, as it is for Airsoft.
I guess guess, start at about 50 euro and there are many online shops.
The magazine bags and more on the plate carrier are usually sold separately, so I recommend for your use rather a Chest Rig, which is much cheaper.

And I do not know anyone who calls any vest "military vest".

Many thanks for your response. Let's see.

You maybe not.