feat: update core API, database layer, and worker modules

- Remove unused imports (n8n_search, universal_search, Client, Arc, etc.)
- Update API endpoints for identity, face recognition, search
- Fix postgres_db.rs search_videos parent_uuid column
- Add snapshot API and identity agent API
- Clean up backup files (.bak, .bak2)

src/processing/modules/cut.rs

@@ -0,0 +1,49 @@
+//! CUT (Scene Cut Detection) processing module
+
+use anyhow::Result;
+use momentry_core::ui::progress::{ProcessorType, ProgressState, ProgressUi};
+use momentry_core::OutputDir;
+use std::path::Path;
+use std::sync::{Arc, Mutex};
+
+/// Process CUT module
+pub async fn process_cut_module(
+    cut_path: &Path,
+    video_path: &str,
+    uuid: &str,
+    progress_state: &Arc<Mutex<ProgressState>>,
+    ui: &Arc<Mutex<Option<ProgressUi>>>,
+) -> Result<()> {
+    {
+        let mut state = progress_state.lock().unwrap();
+        state.get_processor(ProcessorType::Cut).start(1);
+    }
+
+    let cut_result = momentry_core::core::processor::process_cut(
+        video_path,
+        cut_path.to_str().unwrap(),
+        Some(uuid),
+    )
+    .await?;
+
+    let cut_json = serde_json::to_string_pretty(&cut_result)?;
+    std::fs::write(cut_path, &cut_json)?;
+
+    let output_dir = OutputDir::new();
+    let _ = output_dir.backup_file(uuid, "cut.json");
+
+    println!("  ✓ CUT saved: {} scenes", cut_result.scenes.len());
+
+    {
+        let mut state = progress_state.lock().unwrap();
+        state
+            .get_processor(ProcessorType::Cut)
+            .complete(&format!("{} scenes", cut_result.scenes.len()));
+    }
+
+    if let Some(ref mut ui) = *ui.lock().unwrap() {
+        let _ = ui.render();
+    }
+
+    Ok(())
+}