Building lrzip-next on cygwin on Windows 11 - windows

Question

I've been trying to build lrzip-next on cygwin on Windows 11 but I couldn't succeed.
I end up with this error:
Making install in src
make[1]: ingresso nella directory «/cygdrive/c/Users/giova/Downloads/lrzip-next-0.10.0/src»
depbase=`echo main.o | sed 's|[^/]*$|.deps/&|;s|\.o$||'`;\
gcc -DHAVE_CONFIG_H -I. -I.. -I . -I .. -I ../src/include -I ../src/lzma/include -g -O2 -MT main.o -MD -MP -MF $depbase.Tpo -c -o main.o main.c &&\
mv -f $depbase.Tpo $depbase.Po
main.c: In function ‘main’:
main.c:351:20: warning: ‘optind’ redeclared without dllimport attribute: previous dllimport ignored [-Wattributes]
351 | extern int optind;
| ^~~~~~
main.c:505:49: error: ‘PRIO_MIN’ undeclared (first use in this function)
505 | if (control->nice_val < PRIO_MIN || control->nice_val > PRIO_MAX)
| ^~~~~~~~
main.c:505:49: note: each undeclared identifier is reported only once for each function it appears in
main.c:505:81: error: ‘PRIO_MAX’ undeclared (first use in this function); did you mean ‘PRIoMAX’?
505 | if (control->nice_val < PRIO_MIN || control->nice_val > PRIO_MAX)
| ^~~~~~~~
| PRIoMAX
make[1]: *** [Makefile:551: main.o] Error 1
make[1]: uscita dalla directory «/cygdrive/c/Users/giova/Downloads/lrzip-next-0.10.0/src»
make: *** [Makefile:502: install-recursive] Error 1
I'm on Windows 11 22H2
I'm using cygwin version (uname -a output) CYGWIN_NT-10.0-22621 DellXPS15 3.4.5-1.x86_64 2023-01-19 19:09 UTC x86_64 Cygwin
I've tried asking for suggestion on the github issue page but I was told windows is not a supported platform, but since cygwin should enable software such as this to run (and in fact the normal lrzip version is actually included in cygwin's repo) I was wonder whether there was anything I could do to make it run on this platform.
Does anyone have any suggestion?
Here is the full build log.