If your Controller ID starts with MLCB, you most likely have the Steam Deck OLED. Type A/Type B joysticks are only compatible with the original LCD model as the daughterboards are different. If you are looking for replacement OLED-model compatible joysticks, GuliKit's Hall Effect Joysticks (Amazon) are a popular choice as some people go out of their way to immediately replace their stock joysticks with them to eliminate stick drift & improve the overall feel of using them. (Looking at the Amazon reviews though, might be a good idea to follow a YouTube video on this carefully (like this one). Don't be hesitant to contact support or return them for a refund if need be.)

This might be a reach, but for anyone struggling with a similar problem with any of their devices, I would try disabling USB selective suspend setting in the advanced power settings: (1) Open the Control Panel. (2) Click on the Power Options icon. (3) Next to the currently active power plan (i.e. "Balanced"), click on the Change plan settings link. (4) Click on Change advanced power settings. (5) In the Power Options window, expand the USB settings section. (6) Expand the USB selective suspend setting, click on the setting, and set it to Enabled. (7) Click OK to save your changes! If for some reason the system thinks your headset dongle is "idle", this should prevent it from being temporarily suspended. Either way, there's no point to keeping this setting enabled if you're on a desktop.