Hey, it seems like you're having trouble getting your DualSense controller to charge when your PS5 is in rest mode, even though you've turned on the setting to provide power to it.
It looks like the issue might be related to the battery level of the controller. When the battery has three tics and is close to being fully charged, the PS5 might prevent it from overcharging by not allowing it to charge any further. This is to protect the battery and extend the life of the controller.
Also, the controller charges more slowly in rest mode than when the PS5 is turned on to avoid overcharging.
If the controller still won't charge even when it's not fully charged, you can try resetting the controller by pressing the small button on the back with a paperclip or similar object. This should help the controller pair with the PS5 again and might fix any charging issues.
It looks like the same issue might also be happening with your Pulse 3D headset, and this might also be related to the battery level.
If you're still having trouble, you can try connecting the controller and headset directly to the PS5 using a USB cable or contacting Sony support for more help.