Add Auto permission mode (#63)

Adds Claude Code's auto permission mode as a fifth option between Accept Edits and Bypass, across terminals, resumed sessions, the tab badge, the scheduler task runner and docs. Warns that Auto falls back to prompting when unavailable for the model/backend.

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

app/src/components/projects/home/TaskEditorModal.test.tsx

@@ -159,12 +159,19 @@ describe("TaskEditorModal", () => {
   });
 
   it("warns that a headless run cannot answer a permission prompt", async () => {
-    // Bypass is the only mode where an unattended run is safe from stalling.
+    // Bypass (and Auto, below) are the modes where an unattended run cannot stall.
     await renderEditor(null, { ...baseProject, permission_mode: "bypass" });
     expect(screen.getByText(/headless/i)).toBeInTheDocument();
     expect(screen.queryByText(/cannot answer a permission prompt/i)).toBeNull();
   });
 
+  it("tells Auto mode that blocked actions are denied, and warns of the fallback", async () => {
+    await renderEditor(null, { ...baseProject, permission_mode: "auto" });
+    expect(screen.queryByText(/cannot answer a permission prompt/i)).toBeNull();
+    expect(screen.getByText(/blocks are denied/i)).toBeInTheDocument();
+    expect(screen.getByText(/falls back to prompting/i)).toBeInTheDocument();
+  });
+
   it("spells out the stall risk in any non-Bypass mode", async () => {
     await renderEditor(null, { ...baseProject, permission_mode: "default" });
     expect(screen.getByText(/cannot answer a permission prompt/i)).toBeInTheDocument();

app/src/components/projects/home/TaskEditorModal.tsx

@@ -301,11 +301,18 @@ export default function TaskEditorModal({ project, task, onClose, onSaved }: Pro
             terminal attached, using this project’s permission mode (
             <strong className="text-[var(--text-primary)]">{modeLabel}</strong>).
           </p>
-          {mode !== "bypass" && (
+          {mode === "auto" && (
+            <p className="text-xs text-[var(--warning)]">
+              In Auto mode, actions the safety classifier blocks are denied and the run carries on
+              without them. If Auto isn&rsquo;t available for this project&rsquo;s model or backend,
+              Claude Code falls back to prompting and the task may stall.
+            </p>
+          )}
+          {mode !== "bypass" && mode !== "auto" && (
             <p className="text-xs text-[var(--warning)]">
               A headless run cannot answer a permission prompt. In {modeLabel} mode the task may
-              stall and produce an empty log; set the mode to Bypass in the Config tab for
-              unattended runs.
+              stall and produce an empty log; set the mode to Auto or Bypass in the Config tab
+              for unattended runs.
             </p>
           )}
         </div>