Unable to compile on Ubuntu 22.04 LTS (5.15.0-25-generic) - nothing happens

[Cvolton]

I've been trying to install the driver on Ubuntu 22.04 but it seems that make simply doesn't want to do anything. This is what I've done to get from a fresh installation to the state I'm in right now:

$ sudo apt install build-essential git
$ git clone https://github.com/kimocoder/realtek_rtwifi
$ cd realtek_rtwifi/
$ make

and here's the output of the make command after freshly cloning the repository or after doing make clean

make -C /lib/modules/5.15.0-25-generic/build M=/home/cvolton/realtek_rtwifi modules
make[1]: Entering directory '/usr/src/linux-headers-5.15.0-25-generic'
  MODPOST /home/cvolton/realtek_rtwifi/Module.symvers
make[1]: Leaving directory '/usr/src/linux-headers-5.15.0-25-generic'

Obviously nothing gets compiled by this and therefore sudo make install fails as well.

# make install
make -C /lib/modules/5.15.0-25-generic/build M=/home/cvolton/realtek_rtwifi modules
make[1]: Entering directory '/usr/src/linux-headers-5.15.0-25-generic'
make[1]: Leaving directory '/usr/src/linux-headers-5.15.0-25-generic'
#gzip -f rtwifi.ko
sudo cp -f rtwifi.ko  /lib/modules/5.15.0-25-generic/kernel/drivers/net/wireless/realtek/
cp: cannot stat 'rtwifi.ko': No such file or directory
make: *** [Makefile:20: install] Error 1

Kernel headers are installed straight out of the box as evidenced by

$ ls /usr/src/linux-headers-5.15.0-25-generic
arch  block  certs  crypto  Documentation  drivers  fs  include  init  ipc  Kbuild  Kconfig  kernel  lib  Makefile  mm  Module.symvers  net  samples  scripts  security  sound  tools  ubuntu  usr  virt

This is consistent behavior on my fresh installation of Ubuntu 22.04 LTS with kernel version 5.15.0-25-generic and a different installation of Ubuntu 20.04 LTS with kernel version 5.13.0-40-generic.