Whole OS stutters with screen capturing enabled

[melgu]

When I enable screen mirroring, the whole OS stutters noticeably, even while doing simple things like moving a window around.
Enabling HDR makes the effects worse, but even without HDR it makes the PC unusable.

The official Nanoleaf Desktop app has the same issue, while the Philips Hue app works without issues.

PC specs:
Windows 11
Intel 13900K
RTX 4090