UI: show distill schedule next-run times in settings panel

Fetches /distill/status when the ⚙ panel opens and renders next run
times below the distill buttons (monospace, muted). Shows "today",
"tomorrow", or "Mar 18" format depending on how far away.

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

cortex/static/app.js

@@ -813,9 +813,39 @@
             document.getElementById('mem-short-btn').classList.toggle('mem-on', memShort);
         }
 
+        function formatNextRun(iso) {
+            if (!iso) return 'n/a';
+            const dt = new Date(iso);
+            const now = new Date();
+            const diffMs = dt - now;
+            const diffDays = Math.floor(diffMs / 86400000);
+            const time = dt.toLocaleTimeString([], { hour: '2-digit', minute: '2-digit' });
+            if (diffDays === 0) return `today ${time}`;
+            if (diffDays === 1) return `tomorrow ${time}`;
+            return dt.toLocaleDateString([], { month: 'short', day: 'numeric' }) + ' ' + time;
+        }
+
+        async function loadSchedule() {
+            const schedEl = document.getElementById('ctx-schedule');
+            try {
+                const res = await fetch('/distill/status');
+                const d = await res.json();
+                if (!d.enabled || !d.jobs.length) {
+                    schedEl.textContent = 'auto-distill disabled';
+                    return;
+                }
+                schedEl.innerHTML = d.jobs
+                    .map(j => `${j.id.replace('distill_', '').padEnd(6)} → ${formatNextRun(j.next_run)}`)
+                    .join('<br>');
+            } catch {
+                schedEl.textContent = '';
+            }
+        }
+
         ctxOpenBtn.addEventListener('click', (e) => {
             e.stopPropagation();
             ctxPanel.classList.toggle('open');
+            if (ctxPanel.classList.contains('open')) loadSchedule();
         });
 
         document.addEventListener('click', (e) => {

cortex/static/index.html

@@ -61,6 +61,7 @@
                     <button class="ctx-btn" id="distill-all-btn"   title="Run all three steps in sequence">all</button>
                 </div>
                 <div id="ctx-distill-status"></div>
+                <div id="ctx-schedule"></div>
             </div>
             <div class="ctx-section">
                 <div class="ctx-section-title">Backend</div>

cortex/static/style.css

@@ -766,6 +766,14 @@
         #ctx-distill-status.show { opacity: 1; }
         #ctx-distill-status.err  { color: var(--error-text); }
 
+        #ctx-schedule {
+            margin-top: 6px;
+            font-size: 0.66rem;
+            color: var(--muted);
+            line-height: 1.7;
+            font-family: 'Courier New', monospace;
+        }
+
         /* Ctx header button — shows current tier as a dim superscript */
         #ctx-open-btn .tier-badge {
             font-size: 0.6em;