feat(bar): idle-inhibit (caffeine) toggle — generated bar + summer-day parity (item 13 slice)

Summer-night's whole-swap bar had an idle_inhibitor the generated bar
lacked (reverse parity gap from the 2026-07-04 sweep). The generated
bar now carries it — 󰾪 click → 󰅶, warm tint while active, tooltips
saying what it holds — blocking hypridle's lock/display-off/suspend
for videos and presentations; state deliberately resets with the bar.
summer-day mirrors summer-night's module + CSS, and the keybinds
cheatsheet mentions the bar click (via keybinds.extra).

V1: rendered config has the module with correct glyphs, CSS rules
present, cheatsheet row renders. Inhibit behaviour needs a session →
V3 queued.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>

themes/summer-day/waybar.jsonc

@@ -11,7 +11,7 @@
 
   "modules-left": ["custom/launcher", "clock", "clock#date"],
   "modules-center": ["hyprland/workspaces"],
-  "modules-right": ["custom/recording", "pulseaudio", "custom/powerprofile", "custom/nightlight", "hyprland/language", "custom/updates", "battery", "tray", "custom/vpn", "custom/notification", "custom/powermenu"],
+  "modules-right": ["custom/recording", "idle_inhibitor", "pulseaudio", "custom/powerprofile", "custom/nightlight", "hyprland/language", "custom/updates", "battery", "tray", "custom/vpn", "custom/notification", "custom/powermenu"],
 
   "hyprland/workspaces": {
     "disable-scroll": true,
@@ -28,6 +28,14 @@
     "tooltip-format": "Nomarchy menu"
   },
 
+  "idle_inhibitor": {
+    "format": "{icon}",
+    "format-icons": {
+      "activated": " 󰅶 ",
+      "deactivated": " 󰾪 "
+    }
+  },
+
   "pulseaudio": {
     "format": "{icon} {volume}%",
     "format-bluetooth": "{icon}  {volume}%",