Add Fcitx5 Rime setup with default profile and status checks

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01QKxGW1raAWaqeU8WdHsMsp

bin/omarchy-cn-ime-apply

@@ -0,0 +1,28 @@
+#!/bin/bash
+# omarchy:summary=Install Fcitx5 Rime and Chinese addons with a default profile
+# omarchy:examples=omarchycn ime apply
+
+set -euo pipefail
+
+omarchy-pkg-add fcitx5-rime fcitx5-chinese-addons fcitx5-configtool
+
+profile_dir="$HOME/.config/fcitx5"
+mkdir -p "$profile_dir"
+
+if [[ -f $profile_dir/profile ]] && ! grep -q '^Name=rime$' "$profile_dir/profile"; then
+  backup_dir="$HOME/.local/state/omarchycn/backups/ime/$(date +%Y%m%d-%H%M%S)"
+  mkdir -p "$backup_dir"
+  cp "$profile_dir/profile" "$backup_dir/profile"
+  echo "Existing profile backed up to $backup_dir"
+fi
+
+cp "$OMARCHY_PATH/cn/fcitx5/profile" "$profile_dir/profile"
+
+if systemctl --user is-active omarchy-fcitx5.service > /dev/null 2>&1; then
+  systemctl --user restart omarchy-fcitx5.service
+  echo "Fcitx5 restarted with Rime profile"
+else
+  echo "Fcitx5 profile installed (takes effect at next graphical session)"
+fi
+
+omarchy-cn-ime-status