Add Auto permission mode

Claude Code now ships `--permission-mode auto`, where a safety classifier
approves routine actions and blocks risky ones without prompting. Expose it
as a fifth mode between Accept Edits and Bypass: terminals, resumed sessions,
the tab badge, and the scheduler's task runner all map it to the flag.

Headless scheduled runs don't stall in Auto (blocked actions are denied, not
prompted), so the task editor shows a softer note instead of the stall warning.

Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>

app/src-tauri/src/commands/terminal_commands.rs

@@ -469,6 +469,20 @@ mod tests {
         assert!(!cmd[2].contains(" -n "), "empty name must add no flag: {}", cmd[2]);
     }
 
+    /// Auto mode is passed as a `--permission-mode` value, not its own flag.
+    #[test]
+    fn build_terminal_cmd_passes_auto_permission_mode() {
+        let mut p = project("anthropic", serde_json::Value::Null);
+        p.permission_mode = Some(crate::models::project::PermissionMode::Auto);
+        let cmd = build_claude_terminal_cmd(&p, None, None);
+
+        assert!(
+            cmd[2].contains("exec claude '--permission-mode' 'auto'"),
+            "got: {}",
+            cmd[2]
+        );
+    }
+
     /// The Bedrock-profile path keeps its AWS validation *and* gains the
     /// prelude, immediately before the exec.
     #[test]

app/src-tauri/src/models/project.rs

@@ -166,6 +166,9 @@ pub enum PermissionMode {
     Default,
     /// Auto-accept file edits, prompt for everything else.
     AcceptEdits,
+    /// Claude Code's classifier approves safe actions and blocks risky ones,
+    /// without prompting.
+    Auto,
     /// Skip all permission prompts.
     Bypass,
 }
@@ -180,6 +183,7 @@ impl PermissionMode {
             PermissionMode::AcceptEdits => {
                 vec!["--permission-mode".to_string(), "acceptEdits".to_string()]
             }
+            PermissionMode::Auto => vec!["--permission-mode".to_string(), "auto".to_string()],
             PermissionMode::Bypass => vec!["--dangerously-skip-permissions".to_string()],
         }
     }
@@ -191,6 +195,7 @@ impl PermissionMode {
             PermissionMode::Plan => "plan",
             PermissionMode::Default => "default",
             PermissionMode::AcceptEdits => "acceptEdits",
+            PermissionMode::Auto => "auto",
             PermissionMode::Bypass => "bypass",
         }
     }