When I try to use [Left Alt, Left Shift, Left Ctrl, Right Alt, Right Shift, Right Ctrl] as a key binding, it reverts to (not bound) when I release the key and doesn't stay activated.

Version 2.2.0 from TwitchClient

Directly binding to modifier keys (such as Shift, Alt, etc.) is not supported. These can be only used in combination with a key chord (e.g. Shift+R, Ctrl+LeftClick, etc.).

I'd need to see if there is a way around this limitation. Currently, I think, there isn't.