fix(live): sync skills to app directories on config path change

When users change app config directories (claudeConfigDir, codexConfigDir,
geminiConfigDir), MCP servers were being synced to the new paths but Skills
were not. This adds Skill synchronization to sync_current_to_live() to ensure
installed Skills are also copied to the new app directories.

src-tauri/src/services/provider/live.rs

@@ -148,6 +148,15 @@ pub fn sync_current_to_live(state: &AppState) -> Result<(), AppError> {
 
     // MCP sync
     McpService::sync_all_enabled(state)?;
+
+    // Skill sync
+    for app_type in [AppType::Claude, AppType::Codex, AppType::Gemini] {
+        if let Err(e) = crate::services::skill::SkillService::sync_to_app(&state.db, &app_type) {
+            log::warn!("同步 Skill 到 {:?} 失败: {}", app_type, e);
+            // Continue syncing other apps, don't abort
+        }
+    }
+
     Ok(())
 }