Install the kernal module required for the facetimehd camera to work on Linux

99-install-facetime-camera.sh

#!/bin/bash
set -e

export CONFIG_MODULE_SIG=n
export CONFIG_MODULE_SIG_ALL=n
# For current kernel
export KERNELRELEASE=$(cat /proc/version | awk '{print $3}')

temp_dir=$(mktemp -d)
echo "Installing FacetimeHD camera for $KERNELRELEASE"
cd $temp_dir
git clone https://github.com/patjak/facetimehd-firmware.git
git clone https://github.com/patjak/bcwc_pcie.git

cd $temp_dir/facetimehd-firmware
pwd
make
make install
cd $temp_dir/bcwc_pcie
pwd
make
make install
rm -rf $temp_dir

if [ ! -d "/etc/modules-load.d" ]; then
  mkdir -p "/etc/modules-load.d"
fi

cat > "/etc/modules-load.d/facetimehd.conf" << EOL
videobuf2-core
videobuf2_v4l2
videobuf2-dma-sg
facetimehd
EOL


# Workaround for depmod being skipped above with error:
# Warning: modules_install: missing 'System.map' file. Skipping depmod
echo "Generate modules.dep and map files"
sudo depmod

echo "Adding kernel modules"
sudo modprobe -r bdc_pci
sudo modprobe facetimehd

echo "Install complete"

further, when the directory /lib/modules/5.10.161-1-MANJARO/build was created and make run from bcwc_pcie directory there is a further error message:
make -C /lib/modules/5.10.161-1-MANJARO/build M=/home/partha/Downloads/bcwc_pcie modules
make[1]: Entering directory '/usr/lib/modules/5.10.161-1-MANJARO/build'
make[1]: *** No rule to make target 'modules'. Stop.
make[1]: Leaving directory '/usr/lib/modules/5.10.161-1-MANJARO/build'
make: *** [Makefile:12: all] Error 2

So there is some problem here with the files in the directory; please help....

No rule to make target 'modules'.

I don't use this setup any more but have you tried searching the web for this error?
Check if you have kernel headers installed that match the current kernel version.

I have sort of gathered all I could find on this topic and the gist itself into another repo with some more info. I hope this can be useful to someone struggling with this.
I had a particular rough time making this work on Debian 12, and then this script helped.
Hope this helps!

P.S. sometimes Cheese is picky with the drivers - test on google meet to see if the fix the worked, then tackle Cheese separately.