Terminal opens but no action is performed

Hello,

In my Updater tool, I try to launch an action within Terminal.
I tried something likely done in the 'Open Shell Here' service.

A new shell opens as expected, but the action is not performed. I 
guess I am not using the right syntax to do that.

Below, the concerned part of the bash script that calls Terminal:

	pgrep Terminal
                         if [ $? -eq 1 ];then
                                 /System/Tools/openapp Terminal
                         fi
                         cd "$HOME" && exec $SHELL -c "Updater 
--upgrade"

What would be the rignt way? I tried also to create an 
'Updater.service' in Terminal, but I do not know how to call it from 
my script.

P.S.: To understand the context: the first 'Updater --update' script 
is called from ~/GNUStep/Library/WindowMaker/autostart.
It shows up a notification (threw dunst) from witch the user (threw 
dmenu) can choose to apply immediately the upgrade. In this case, the 
above part of the script is executed.

Regards,
Patrick

-- 
Patrick Cardona - Pi400 - GNU/Linux aarch64 (Debian 13.1)
Xorg (1:7.7+24) - libcairo2 (1.18.4-1+rpt1 arm64)
Window Maker (0.96.0) - GWorkspace (1.1.0 - 02 2025) - Theme: AGNOSTEP 
- MUA: GNUMail (1.4.0)