feat: add age-based event gating, event timer, and UI polish

- Add minAge/maxAge to events so infants can't go treasure hunting
- Cache event panel DOM to prevent high-speed button destruction
- Add 10s auto-select countdown for choice events
- Fix event title/text field mapping (name/description → title/text)
- Add rotating clock icon for time flow feedback
- Fix speed/pause button active states
- Fix shop affordability check (disable + show insufficient money)
- Add red styling for unmet choice requirements
- Fix log re-rendering on every tick

verify.cjs

@@ -0,0 +1,45 @@
+const puppeteer = require('puppeteer-core');
+const sleep = (ms) => new Promise(r => setTimeout(r, ms));
+
+(async () => {
+  const browser = await puppeteer.launch({
+    executablePath: '/usr/bin/chromium-browser',
+    headless: true,
+    args: ['--no-sandbox', '--disable-setuid-sandbox']
+  });
+
+  const page = await browser.newPage();
+  page.on('console', msg => console.log('CONSOLE:', msg.type(), msg.text()));
+  page.on('pageerror', err => console.log('PAGEERROR:', err.message));
+
+  await page.goto('http://localhost:8765', { waitUntil: 'networkidle0' });
+  await sleep(1500);
+
+  // Check internal state
+  const stateInfo = await page.evaluate(() => {
+    return {
+      day: window._state?.day,
+      alive: window._state?.alive,
+      paused: window._state?.paused,
+      reincarnation: window._state?.reincarnation,
+    };
+  });
+  console.log('Internal state:', stateInfo);
+
+  // Try to manually tick
+  await page.evaluate(() => {
+    if (window._tick) {
+      window._tick(10);
+      console.log('Manual tick executed, day now:', window._state?.day);
+    } else {
+      console.log('tick function not exposed');
+    }
+  });
+
+  await sleep(500);
+
+  const day = await page.$eval('#day', el => el.textContent).catch(() => 'N/A');
+  console.log('Day after manual tick:', day);
+
+  await browser.close();
+})();