Since auto/DBD/mysql/mysql.so seems to be missing you should probably reinstall DBD::mysql. The find/grep should give you a list something like:

/.../5.38.0/lib/site_perl/5.38.0/x86_64-linux-thread-multi/auto/DBD/my
+sql
/.../5.38.0/lib/site_perl/5.38.0/x86_64-linux-thread-multi/auto/DBD/my
+sql/mysql.so
/.../5.38.0/lib/site_perl/5.38.0/x86_64-linux-thread-multi/auto/DBD/my
+sql/.packlist
/.../5.38.0/lib/site_perl/5.38.0/x86_64-linux-thread-multi/Bundle/DBD/
+mysql.pm
/.../5.38.0/lib/site_perl/5.38.0/x86_64-linux-thread-multi/DBD/mysql
/.../5.38.0/lib/site_perl/5.38.0/x86_64-linux-thread-multi/DBD/mysql/I
+NSTALL.pod
/.../5.38.0/lib/site_perl/5.38.0/x86_64-linux-thread-multi/DBD/mysql/G
+etInfo.pm
/.../5.38.0/lib/site_perl/5.38.0/x86_64-linux-thread-multi/DBD/mysql.p
+m
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