watch breaks COLUMNS when used to run a script inside docker container with `docker exec -ti container_name /script_name.sh`

When calling a script inside a docker container, watch fails to get current terminal COLUMNS value and defaults to WIDTH_FALLBACK which is then used for the docker exec -ti container_name /script_name.sh command for it's terminal dimensions - which is subsequently incorrect (actually not set) for script_name.sh - COLUMNS is NOT set or available inside the container.

https://gitlab.com/procps-ng/procps/-/blob/master/src/watch.c?ref_type=heads#L1041

When running the docker exec -ti container_name /script_name.sh without using watch, all is well.

e.g.

command	COLUMNS value
watch -cd 'docker exec -ti container_name /script_name.sh'	80 (COLUMNS is not set inside the container either)
docker exec -ti container_name /script_name.sh	211 (or whatever the current terminal dimensions are)
watch -cd "docker exec -ti container_name bash -c 'tput cols'"	80 (COLUMNS is not set inside the container either)
docker exec -ti container_name bash -c 'tput cols'	211 (or whatever the current terminal dimensions are)

It is necessary to pass the COLUMNS value into docker when using watch

i.e. docker exec -ti -e COLUMNS=$COLUMNS container_name /script_name.sh

Additional info:

$ watch --version
watch from procps-ng 3.3.17

$ neofetch --stdout
XX@XXXX
------- 
OS: Linux Mint 21.1 x86_64 
Host: HP ENVY 17 Notebook PC XXXXXXXXXXXXXXXXXXXXXXXXX 
Kernel: 5.15.0-89-generic 
Uptime: 21 days, 11 hours, 21 mins 
Packages: 4913 (dpkg), 21 (brew) 
Shell: bash 5.1.16 
Resolution: 1920x1080 
DE: Cinnamon 5.6.8 
WM: Mutter (Muffin) 
WM Theme: Mint-Y-Dark (Mint-Y-Dark) 
Theme: Mint-Y-Dark [GTK2/3] 
Icons: Mint-Y-Dark [GTK2/3] 
Terminal: terminator 
CPU: Intel i7-4710MQ (8) @ 3.500GHz 
GPU: Intel 4th Gen Core Processor 
GPU: NVIDIA GeForce 840M 
Memory: 10267MiB / 11893MiB 

$ terminator --version
terminator 2.1.1

$ bash --version
bash --version
GNU bash, version 5.1.16(1)-release (x86_64-pc-linux-gnu)
Copyright (C) 2020 Free Software Foundation, Inc.
License GPLv3+: GNU GPL version 3 or later <http://gnu.org/licenses/gpl.html>

This is free software; you are free to change and redistribute it.
There is NO WARRANTY, to the extent permitted by law.