Bluetooth driver bug in Game mode on Deck LCD

[AlbertoEberhardt]

Your system information

• Steam client version: 1763795278
• SteamOS version: 3.7.17
• Opted into Steam client beta?: [No]
• Opted into SteamOS beta?: [No]
• Have you checked for updates in Settings > System?: [Yes]

Please describe your issue in as much detail as possible:

I have an Edifier W800BT Bluetooth Headset (don't know if the bug happens with other Headsets or Headphones), that when i disconnect from any device, will enter a mode were it will start searching for devices to pair (i think this is common for any Bluetooth gadget) then after 5 minutes if there isn't any connection it will timeout and turn itself off.

So when my LCD Steam Deck was on Steam OS 3.5.x and older if i put it to sleep it would disconnect from the Headset and after 5 minutes the Headset would turn itself off.

After updating to Steam OS 3.6.x (and still true on 3.7.x) i noticed that if i put the Deck to sleep the Headset would disconnect, but for some reason never will timeout, so it won't turn itself off, this is annoying as a lot of times i forget to manually turn it off before go to bed, just to wake up in the middle of the night with the Headset blinking its lights like crazy searching for an device to connect.
The strange part (at least to me) is that this bug only happens on Game Mode, if i go to Desktop Mode and put the Deck to sleep the Headset will disconnect and after 5 minutes will turn itself off.

Steps for reproducing this issue:

1. Connect to the Headset (in my case the Edifier W800BT) via Bluetooth while in Game Mode.
2. Press the power button to enter sleep mode.
3. Now the Headset will disconnect and start searching for another device to connect and never will timeout until the battery lasts.