/etc/zsh/zprofile is in zsh-common 5.4.2-3ubuntu3.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 | # /etc/zsh/zprofile: system-wide .zprofile file for zsh(1).
#
# This file is sourced only for login shells (i.e. shells
# invoked with "-" as the first character of argv[0], and
# shells invoked with the -l flag.)
#
# Global Order: zshenv, zprofile, zshrc, zlogin
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