It does include Bluetooth, but this is not the wireless method used for gaming. Rather, the Arctis Pro Wireless features a dual-wireless system where its lossless and low latency 2.4G connection is used for gaming while Bluetooth is used to connect to mobile devices. The best part of this system is that audio from both wireless connections can be used simultaneously.
So while gaming on a PlayStation 4 or PlayStation 5, you can also be chatting with friends on the Discord mobile app, or while gaming on a PC you can answer a phone call.