In the original post, you can see that I call the correct cpan using the perlbrew cpan full path name, which was built using the perlbrew perl, so I expected that all to work correctly.

However, running which perl; which cpan from my command line shows me the system commands being found first. I will try fixing this so that perlbrew commands are in my environment first and see if that helps.

Also, checking where the modules were installed shows the following:

/opt/homebrew/Cellar/perl/5.36.0/bin/perl -e 'print "@INC"'
/opt/homebrew/opt/perl/lib/perl5/site_perl/5.36/darwin-thread-multi-2l
+evel /opt/homebrew/opt/perl/lib/perl5/site_perl/5.36 /opt/homebrew/op
+t/perl/lib/perl5/5.36/darwin-thread-multi-2level /opt/homebrew/opt/pe
+rl/lib/perl5/5.36 /opt/homebrew/lib/perl5/site_perl/5.36/darwin-threa
+d-multi-2level /opt/homebrew/lib/perl5/site_perl/5.36
[download]

There are no environment variables in my shell for LD_LIBRARY_PATH or DYLD_LIBRARY_PATH but maybe cpan adds them somehow?

I will try using strace and see if the output indicates if the old system tcl-tk libraries are being used and post the results here.