Compile LKM Raspberry Pi - Permission denied

I'm following the first example of a Hello World LKM and now I need to compile it.

According to the book, the Makefile needs to be like this:

obj-m+=hello_world.o

all:
        make -C /lib/modules/$(shell uname -r)/build/ M=$(pwd) modules
clean:
        make -C /lib/modules/$(shell uname -r)/build/ M=$(pwd) clean

And then you need to run make (and it says that you souldn't run sudo make or you'll recompile all Linux kernel headers).

By running this it outputs:

make -C /lib/modules/5.10.63+/build/ M= modules
make[1]: Entering directory '/usr/src/rpi-5.10.y'
/bin/sh: 1: cannot create include/generated/uapi/linux/.version.h.tmp: Permission denied
  UPD     include/generated/uapi/linux/version.h
mv: cannot stat 'include/generated/uapi/linux/.version.h.tmp': No such file or directory
make[1]: *** [Makefile:1277: include/generated/uapi/linux/version.h] Error 1
make[1]: Leaving directory '/usr/src/rpi-5.10.y'
make: *** [Makefile:4: all] Error 2

And if I run sudo make or change the Makefile commands by sudo make -C ... it never ends (>2h and still waiting).

I couldn't run sudo apt install linux-headers-'uname -r' (ignore the ', they are ` but I can't place it here) because the kernel it's the last one (5.10.63+), but I have followed all the steps on the book that tells how to manually compile all Linux kernel headers, so I should have them.

Any idea? If you need some extra information just tell me what command I need to run and I'll attach the output.

Thanks!