Fix cooldown timer visibility after Start; add real-time modal validation; update context.md with prod server

- Cooldown counter now always rendered (hidden) when auto_reply active, shown dynamically via polling
- Modal form validates fields on blur/input with red highlight via .input-invalid class
- Telegram: switched back to tel.4mont.ru proxy (working via /etc/hosts on 192.168.33.19)
- context.md: added prod server 45.129.3.83, deploy commands, NPM routing notes

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

templates/index.html

@@ -79,9 +79,9 @@
             <div class="autoreply-status">
                 <span class="status-dot status-dot--green"></span>
                 <span>Автоответ активен</span>
-                {% if api_cooldown_seconds_left and api_cooldown_seconds_left > 0 %}
-                    &nbsp;·&nbsp; Следующий ответ через <span id="cooldown-counter" data-seconds="{{ api_cooldown_seconds_left }}">{{ api_cooldown_seconds_left }}</span> сек.
-                {% endif %}
+                <span id="cooldown-wrap" {% if not api_cooldown_seconds_left or api_cooldown_seconds_left <= 0 %}style="display:none"{% endif %}>
+                    &nbsp;·&nbsp; Следующий ответ через <span id="cooldown-counter" data-seconds="{{ api_cooldown_seconds_left or 0 }}">{{ api_cooldown_seconds_left or 0 }}</span> сек.
+                </span>
             </div>
         {% endif %}
 
@@ -410,7 +410,15 @@ initPools();
             } else if (data.last_log_id !== lastLogId) {
                 window.location.reload();
             }
-            if (cooldownCtrl && data.cooldown > 0) cooldownCtrl.update(data.cooldown);
+            const wrap = document.getElementById('cooldown-wrap');
+            if (wrap) {
+                if (data.cooldown > 0) {
+                    wrap.style.display = '';
+                    if (cooldownCtrl) cooldownCtrl.update(data.cooldown);
+                } else {
+                    wrap.style.display = 'none';
+                }
+            }
             if (fetchCtrl && data.next_fetch_seconds > 0) fetchCtrl.update(data.next_fetch_seconds);
             if (data.next_fetch_seconds === 0 && data.queue_len === 0 && data.auto_reply_enabled) {
                 window.location.reload();