[SOLVED] Exact problem as this archwiki forum post

I have also tried everything and at last here I am asking for any help, otherwise I don't think I would be able to continue using Linux on this laptop. I've tried everything from changing the kernel package to enabling all firmwares to using every kernel parameter I can find everything, nothing says any error or something anywhere. Only error i can find is hci device capabilities -22

Edit:
The patch i needed was to add the driver info in btusb.c file. In nixos this is how you do it

  boot = {
    kernelPatches = [
      {
        name = "add-realtek-8852ce-btusb";
        patch = ./btusb.patch;
      }
    ];
}

first what you should do is git clone the linux kernel version you are using check using uname -r
for me it was 6.12.(whatever, doesn't matter)

git clone --depth=1 git://git.kernel.org/pub/scm/linux/kernel/git/stable/linux.git v6.12

then find the btusb.c file in drivers/bluetooth/
and add the line

{ USB_DEVICE(0x13d3, 0x3612), .driver_info = BTUSB_REALTEK |
BTUSB_WIDEBAND_SPEECH },

after these lines

static const struct usb_device_id quirks_table[] = {
 						     BTUSB_WIDEBAND_SPEECH },
 	{ USB_DEVICE(0x0cb8, 0xc558), .driver_info = BTUSB_REALTEK |
 						     BTUSB_WIDEBAND_SPEECH },

now we have made chages to this file right? it will be shows in git diff, so now you should be able to do git diff > btusb.patch
this will create a .patch file, now copy this file to wherever folder you put the nixos configuration in, most likely /etc/nixos if not using custom config.
Thats it!, now rebuild the configuration and DONE.
props to @Maiq.

Author of patch: vedantsg123

I will try to get this patch upstream to not having to do this manually.