Disable macOS 15 Sequoia annoying screencapture nags

I wrote this as a simple way to block and manage the annoying monthly nags that pop up when apps request screen capture permissions on macOS 15. I'm talking about messages like

"Foo" is requesting to bypass the system private window picker and directly access your screen and audio. This will allow Foo to record your screen and system audio, including personal or sensitive information that may be visible or audible.