Best streaming setup for GTA VI
Console streaming splits into three jobs: getting the picture out, sounding like a person, and controlling the broadcast without leaving the game. Buy them in that order. The built-in broadcast on both consoles is free and worth trying before any of this.
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Game Capture HD60 X
It passes 4K120 through to the TV while capturing 1080p60, so streaming does not cost you the frame rate you bought the console for.

Game Capture HD60 X
External USB capture with 4K60 HDR passthrough — the practical choice for clipping console footage.
MV7+
A dynamic capsule rejects the room, which is the cheapest fix for untreated walls and an audible PC fan.

MV7+
A dynamic broadcast microphone over USB-C. Dynamic is the point: it hears your voice and not the room, the fan or the keyboard.
Stream Deck MK.2
Scene switches and clip markers on physical keys, so the broadcast is controlled without alt-tabbing out of a firefight.

Stream Deck MK.2
Fifteen physical keys for scene switches, clip markers and mutes. It runs on the streaming PC, not the console.
This is the one guide where the order matters more than the picks. A good microphone on a broken capture path is worth nothing, and the console's own broadcast costs nothing to test first.