Running BorgBackup when /tmp is mounted with 'noexec' in fstab results in "error while loading shared libraries: libz.so.1: failed to map segment from shared object". Rename your borg binary to it's original name, (e.g borg-linux64), copy this script to /usr/bin/borg (or somewhere in your PATH) and make it executable (chmod +x or chmod 755).

borg

#!/bin/bash

# This is a helper script for BorgBackup to redirect temp to an
# executable-allowed location only while the program is running.
# This is necessary on systems where /TMP is mounted with
# the 'noexec' option for security in fstab.

# On a standard debian system, the line below would resemble:
# TEMP="/var/borgbackup/temp/" /usr/bin/borg-linux64 "$@"

# TEMP= must point to a path that is writable and can execute programs.
# That is followed by the full path to your borg executable.
# The "$@" passes all provided arguments to the borg executable

TEMP="/path/to/a/temp/location/" /path/to/borg-executable "$@"