How to use git-tiny like net/gitup?

From: <Lena_at_lena.kiev.ua>
Date: Thu, 07 May 2026 06:27:02 UTC
Since port net/gitup began to fail:
https://bugs.freebsd.org/bugzilla/show_bug.cgi?id=295067
https://lists.freebsd.org/archives/freebsd-ports/2026-May/009449.html
https://lists.freebsd.org/archives/freebsd-ports/2026-May/subject.html
https://lists.freebsd.org/archives/freebsd-hackers/2026-May/006223.html
https://lists.freebsd.org/archives/freebsd-hackers/2026-May/subject.html
https://forums.freebsd.org/threads/gitup-process_command-read-failure.102614/

is there any way to tell git-tiny to behave like net/gitup?
To download/clone only current ports tree without any history
and later update it.