Hello, got this annoying issue:
System need about 1.3 minutes for a login, reboot and shutdown.
At reboot and shutdown appear something like: see pic (can't upload).
There the pic: https://ibb.co/hs0tPdP
Desktop Cinnamon, OS Debian 12.5

Update:
I shut down from the terminal using: sudo shut down now, the problem never recurred. The only thing remain is the long login time

Look at the output of the command:
systemd-analyze blame

It outputs the list of running units based on the time it took to initialize. You can ignore plymouth-quit-wait.service, it is basically responsible for the displaying the splash screen.

Oops, I guess you are asking about time it takes from entering your password to seeing the desktop?

Yes michaelk, after i imput my ID and pwd take over a minute to load desktop. Shutdown and reboot is already solved, i don't know why, but after i shutdown (one time) using terminal, the problem never recurred again.

Check the logs to see if anything looks abnormal.

Do you mean Xsession log?
Xsession: X session started for tony at Sat 17 Feb 2024 16:35:14 CET
dbus-update-activation-environment: setting DBUS_SESSION_BUS_ADDRESS=unixath=/run/user/1000/bus
dbus-update-activation-environment: setting DISPLAY=:0
dbus-update-activation-environment: setting XAUTHORITY=/home/tony/.Xauthority
localuser:tony being added to access control list
dbus-update-activation-environment: setting GTK_MODULES=gail:atk-bridge
dbus-update-activation-environment: setting QT_ACCESSIBILITY=1
dbus-update-activation-environment: setting USER=tony
dbus-update-activation-environment: setting LANGUAGE=en_IL:en
dbus-update-activation-environment: setting XDG_SESSION_TYPE=x11
dbus-update-activation-environment: setting HOME=/home/tony
dbus-update-activation-environment: setting DESKTOP_SESSION=cinnamon
dbus-update-activation-environment: setting XDG_SEAT_PATH=/org/freedesktop/DisplayManager/Seat0
dbus-update-activation-environment: setting GTK_MODULES=gail:atk-bridge
dbus-update-activation-environment: setting DBUS_SESSION_BUS_ADDRESS=unixath=/run/user/1000/bus
dbus-update-activation-environment: setting IM_CONFIG_PHASE=1
dbus-update-activation-environment: setting LOGNAME=tony
dbus-update-activation-environment: setting GTK_IM_MODULE=ibus
dbus-update-activation-environment: setting XDG_SESSION_CLASS=user
dbus-update-activation-environment: setting PATH=/usr/local/bin:/usr/bin:/bin:/usr/local/games:/usr/games
dbus-update-activation-environment: setting GTK3_MODULES=xapp-gtk3-module
dbus-update-activation-environment: setting XDG_SESSION_PATH=/org/freedesktop/DisplayManager/Session0
dbus-update-activation-environment: setting XDG_RUNTIME_DIR=/run/user/1000
dbus-update-activation-environment: setting DISPLAY=:0
dbus-update-activation-environment: setting LANG=en_IL
dbus-update-activation-environment: setting XDG_SESSION_DESKTOP=cinnamon
dbus-update-activation-environment: setting XAUTHORITY=/home/tony/.Xauthority
dbus-update-activation-environment: setting XMODIFIERS=@im=ibus
dbus-update-activation-environment: setting XDG_GREETER_DATA_DIR=/var/lib/lightdm/data/tony
dbus-update-activation-environment: setting SHELL=/bin/bash
dbus-update-activation-environment: setting GDMSESSION=cinnamon
dbus-update-activation-environment: setting QT_ACCESSIBILITY=1
dbus-update-activation-environment: setting GPG_AGENT_INFO=/run/user/1000/gnupg/S.gpg-agent:0:1
dbus-update-activation-environment: setting QT_IM_MODULE=ibus
dbus-update-activation-environment: setting PWD=/home/tony
dbus-update-activation-environment: setting XDG_DATA_DIRS=/usr/share/gnome:/usr/local/share/:/usr/share/
dbus-update-activation-environment: setting CLUTTER_IM_MODULE=ibus
discover_other_daemon: 1GNOME_KEYRING_CONTROL=/run/user/1000/keyring
discover_other_daemon: 1GNOME_KEYRING_CONTROL=/run/user/1000/keyring
discover_other_daemon: 1GNOME_KEYRING_CONTROL=/run/user/1000/keyring
SSH_AUTH_SOCK=/run/user/1000/keyring/ssh
Failure: No such entity
[cinnamon-settings-daemon-smartcard] Failed to start: no suitable smartcard driver could be found
[cinnamon-settings-daemon-smartcard] Failed to start: no suitable smartcard driver could be found
mutter-Message: 16:36:20.606: Enabling experimental feature 'x11-randr-fractional-scaling'
Gjs-Message: 16:36:20.915: Profiler is disabled. Not setting up signals.
Gjs-Message: 16:36:21.009: JS LOG: About to start Cinnamon
Gjs-Message: 16:36:21.053: JS LOG: [LookingGlass/info] Cinnamon.AppSystem.get_default() started in 42 ms
Gjs-Message: 16:36:21.055: JS LOG: [LookingGlass/info] loading user theme: /usr/share/themes/Blue-Submarine/cinnamon/cinnamon.css
Gjs-Message: 16:36:21.063: JS LOG: [LookingGlass/info] added icon directory: /usr/share/themes/Blue-Submarine/cinnamon
Gjs-Message: 16:36:21.170: JS LOG: [LookingGlass/info] loaded at Sat Feb 17 2024 16:36:21 GMT+0100 (Central European Standard Time)
Gjs-Message: 16:36:21.170: JS LOG: Cinnamon started at Sat Feb 17 2024 16:36:21 GMT+0100 (Central European Standard Time)
Gjs-Message: 16:36:21.170: JS LOG: GPU offload supported: false
Gjs-Message: 16:36:21.175: JS LOG: [LookingGlass/info] ExtensionSystem started in 0 ms
Gjs-Message: 16:36:21.175: JS LOG: [LookingGlass/info] DeskletManager started in 0 ms
Gjs-Message: 16:36:21.175: JS LOG: [LookingGlass/info] SearchProviderManager started in 0 ms
Gjs-Message: 16:36:21.356: JS LOG: [LookingGlass/info] Loaded applet removable-drives@cinnamon.org in 70 ms
Gjs-Message: 16:36:21.359: JS LOG: [LookingGlass/info] Loaded applet separator@cinnamon.org in 3 ms
Gjs-Message: 16:36:21.363: JS LOG: [LookingGlass/info] Role locked: tray
Gjs-Message: 16:36:21.365: JS LOG: [LookingGlass/info] Loaded applet systray@cinnamon.org in 6 ms

** (nemo-desktop:2157): WARNING **: 16:36:21.375: Current gtk theme is not known to have nemo support (BlackMATE) - checking...
Gjs-Message: 16:36:21.376: JS LOG: [LookingGlass/info] Loaded applet favorites@cinnamon.org in 11 ms
Gjs-Message: 16:36:21.383: JS LOG: [LookingGlass/info] Loaded applet cornerbar@cinnamon.org in 7 ms
Gjs-Message: 16:36:21.388: JS LOG: [LookingGlass/info] Role locked: notifications
Gjs-Message: 16:36:21.403: JS LOG: [LookingGlass/info] Loaded applet notifications@cinnamon.org in 20 ms
Gjs-Message: 16:36:21.423: JS LOG: [LookingGlass/info] Loaded applet printers@cinnamon.org in 20 ms
Gjs-Message: 16:36:21.440: JS LOG: [LookingGlass/info] Loaded applet calendar@cinnamon.org in 17 ms
Gjs-Message: 16:36:21.442: JS LOG: [LookingGlass/info] Loaded applet xapp-status@cinnamon.org in 2 ms
Gjs-Message: 16:36:21.450: JS LOG: [LookingGlass/info] Loaded applet keyboard@cinnamon.org in 8 ms
Fractional scaling active: False
Gjs-Message: 16:36:21.459: JS LOG: [LookingGlass/info] Loaded applet power@cinnamon.org in 9 ms
Trying to connect to logind...
Starting screensaver...
** Message: 16:36:21.477: nemo-desktop: session is cinnamon, establishing proxy
Gjs-Message: 16:36:21.479: JS LOG: [LookingGlass/info] Role locked: panellauncher
Gjs-Message: 16:36:21.479: JS LOG: [LookingGlass/info] Role locked: windowattentionhandler
Gjs-Message: 16:36:21.481: JS LOG: [LookingGlass/info] Loaded applet grouped-window-list@cinnamon.org in 22 ms

** (csd-power:1926): CRITICAL **: 16:36:21.487: abs_to_percentage: assertion 'max > min' failed
Gjs-Message: 16:36:21.498: JS LOG: [LookingGlass/info] Loaded applet sound@cinnamon.org in 17 ms
blueman-applet 16.36.21 WARNING PluginManager:151 __load_plugin: Not loading PPPSupport because its conflict has higher priority
blueman-applet 16.36.21 WARNING PluginManager:151 __load_plugin: Not loading DhcpClient because its conflict has higher priority
Gjs-Message: 16:36:21.537: JS LOG: [LookingGlass/info] Loaded applet network@cinnamon.org in 39 ms
Cinnamon Screensaver support not found in current theme - adding some...
cinnamon-session[1717]: WARNING: t+1.43587s: Detected that screensaver has appeared on the bus
Successfully using logind
Gjs-Message: 16:36:21.613: JS LOG: [LookingGlass/info] Loaded applet menu@cinnamon.org in 76 ms
Gjs-Message: 16:36:21.613: JS LOG: [LookingGlass/info] AppletManager started in 442 ms
Gjs-Message: 16:36:21.615: JS LOG: [LookingGlass/info] Cinnamon took 606 ms to start
Gjs-Message: 16:36:21.620: JS LOG: Unknown network device type, is 32
Gjs-Message: 16:36:21.623: JS LOG: Unknown network device type, is 30
Gjs-Message: 16:36:21.629: JS LOG: calendar@cinnamon.org: Calendar events supported.
Gjs-Message: 16:36:21.632: JS LOG: [LookingGlass/info] Adding systray: input-method (22x22px)
Gjs-Message: 16:36:21.637: JS LOG: [LookingGlass/info] Hiding systray: network

(cinnamon:2071): St-WARNING **: 16:36:21.649: percentage lengths not currently supported

(cinnamon:2071): St-WARNING **: 16:36:21.649: Ignoring length property that isn't a number at line 1439, col 10
Gjs-Message: 16:36:22.361: JS LOG: [LookingGlass/info] Adding XAppStatusIcon: :1.78 (:1.59/org/x/StatusIcon/Icon)

(xapp-sn-watcher:2135): LIBDBUSMENU-GLIB-WARNING **: 16:36:22.463: Unable to replace properties on 0: Error getting properties for ID

(xapp-sn-watcher:2135): LIBDBUSMENU-GLIB-WARNING **: 16:36:22.563: Unable to replace properties on 0: Error getting properties for ID
Gjs-Message: 16:36:25.838: JS LOG: Enabling WindowAttentionHandler
15:36:26:476 Gs Only 0 apps for recent list, hiding
cinnamon-session[1717]: WARNING: t+31.44332s: Detected that screensaver has left the bus

Installed all desktop and log out (without booting system), nothing has changed. Every desktop take over one minute do load.