sway: deploy start-sway system-wide and fix runtime warnings

- Move start-sway to /usr/local/bin so emptty resolves it without a user
  PATH (it runs the launcher with an absolute path). The role copies the
  script as root; the user dotfile entry is removed.
- Fix runtime errors / deprecations in sway/config: tiling_drag accepts
  only enable|disable|toggle; new_window / new_float have been
  superseded by default_border / default_floating_border.
- Simplify workspace names to numeric only; waybar already maps them to
  roman numerals via format-icons.
- Update cleanup-sway.sh to remove /usr/local/bin/start-sway and the
  emptty session entry together as system files.

Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>

ansible/inventory/group_vars/desktop.yml

@@ -162,10 +162,6 @@ desktop_sway_dotfiles:
     src: .config/sway/
     dest: .config/sway/
     mode: preserve
-  - name: Sway session launcher
-    src: .local/bin/start-sway
-    dest: .local/bin/start-sway
-    mode: "0755"
   - name: dunst config
     src: .config/dunst/
     dest: .config/dunst/

ansible/roles/profile_desktop_sway/files/sway.desktop

@@ -1,5 +1,5 @@
 [Desktop Entry]
 Name=Sway
 Comment=SwayFX (Wayland)
-Exec=start-sway
+Exec=/usr/local/bin/start-sway
 Type=Application

ansible/roles/profile_desktop_sway/tasks/main.yml

@@ -27,6 +27,16 @@
     mode: "0644"
   when: "'sway' in (desktop_sessions_enabled | default([]))"
 
+- name: Install Sway session launcher in /usr/local/bin
+  tags: [packages, services, sway]
+  ansible.builtin.copy:
+    src: "{{ playbook_dir }}/../dotfiles/desktop/.local/bin/start-sway"
+    dest: /usr/local/bin/start-sway
+    owner: root
+    group: root
+    mode: "0755"
+  when: "'sway' in (desktop_sessions_enabled | default([]))"
+
 - name: Copy sway desktop dotfiles
   tags: [dotfiles, dotfiles:desktop, sway]
   ansible.builtin.copy: