fix(system): enable uwsm and fix session detection to allow VM login

- Enable programs.uwsm for session management.
- Improve SDDM theme session detection logic to be case-insensitive and more robust.
- Perform a global cleanup of 'Nnomarchy' and 'org.nnomarchy' typos across all scripts and configurations.

bin/hardware/nomarchy-toggle-hybrid-gpu

@@ -1,7 +1,7 @@
 #!/usr/bin/env bash
 
 # Toggle dedicated vs integrated GPU mode via supergfxd (for hybrid gpu laptops, like Asus G14).
-# Declarative enablement + Runtime mode switching for Nnomarchy NixOS.
+# Declarative enablement + Runtime mode switching for Nomarchy NixOS.
 
 STATE_FILE="/etc/nixos/state.json"
 
@@ -30,14 +30,14 @@ case "$gpu_mode" in
   if gum confirm "Switch to Hybrid mode (enables dGPU) and reboot?"; then
     supergfxctl -m Hybrid
     echo "Switching to Hybrid mode..."
-    nnomarchy-system-reboot
+    nomarchy-system-reboot
   fi
   ;;
 "Hybrid")
   if gum confirm "Switch to Integrated mode (disables dGPU) and reboot?"; then
     supergfxctl -m Integrated
     echo "Switching to Integrated mode..."
-    nnomarchy-system-reboot
+    nomarchy-system-reboot
   fi
   ;;
 *)