Refactoring: core logic and update UI

Author: MitCode85

workbench_core.py

@@ -327,7 +327,7 @@ def check_and_install_deps(log: Callable[[str], None] | None = None) -> None:
                 log(f"Install step failed: {e}")
         log("If tools are still not detected, you may need to restart your shell/terminal.")
 
-    # Write helper scripts for manual installation
+    # Write helper scripts for manual installation.
     ps1 = scripts_dir / "install_deps.ps1"
     ps1.write_text(
         "winget source update\n"

yt_audio_backup_gui.py

@@ -1239,7 +1239,7 @@ def _check_and_install_deps_async(self) -> None:
 
         def worker():
             try:
-                check_and_install_deps()
+                check_and_install_deps(log=self.log)
             finally:
                 self._busy_install = False
                 self.status_var.set("Idle")