Add XMonad to SDDM

I have installed arch and KDE. Now I want to test XMonad : - I build XMonad with Stack (because for some import I need the source) - I create the desktop file in /usr/share/xsessions/ with the right permission - Reboot - Chose XMonad in the login session and login - Here I see a black screen and the script redirect me to the login screen :/ How can I add xmonad to my login session and have it work? Permission

▲ lsa /usr/share/xsessions/
total 28K
drwxr-xr-x   2 root root 4.0K May  1 18:06 .
drwxr-xr-x 427 root root  16K May  1 17:34 ..
-rw-r--r--   1 root root 3.0K Apr  2 16:59 plasma.desktop
-rw-r--r--   1 root root  145 May  1 18:47 xmonad.desktop

xmonad.desktop

▲ cat /usr/share/xsessions/xmonad.desktop 
[Desktop Entry]
Type=XSession
Name=Xmonad
Comment=Lightweight X11 tiled window manager written in Haskell
Exec=xmonad
Icon=xmonad
Encoding=UTF-8

Other informations

▲ loginctl show-session $XDG_SESSION_ID        
Id=4
User=1000
Name=a2n
Timestamp=Sun 2022-05-01 18:48:58 CEST
TimestampMonotonic=42270986
VTNr=1
Seat=seat0
Display=:0
Remote=no
Service=sddm
Desktop=KDE
Scope=session-4.scope
Leader=901
Audit=4
Type=x11
Class=user
Active=yes
State=active
IdleHint=no
IdleSinceHint=0
IdleSinceHintMonotonic=0
LockedHint=no