feat: монорепо миграция, Discover/SearxNG улучшения

- Миграция на монорепозиторий (apps/frontend, apps/chat-service, etc.)
- Discover: проверка SearxNG, понятное empty state при ненастроенном поиске
- searxng.ts: валидация URL, проверка JSON-ответа, авто-добавление http://
- docker/searxng-config: настройки для JSON API SearxNG

Co-authored-by: Cursor <cursoragent@cursor.com>

apps/auth-mcs/src/app/sign-up/page.tsx

@@ -0,0 +1,150 @@
+'use client';
+
+import { useState } from 'react';
+import { useRouter } from 'next/navigation';
+import { authClient } from '@/lib/auth-client';
+import Link from 'next/link';
+
+export default function SignUpPage() {
+  const router = useRouter();
+  const [name, setName] = useState('');
+  const [email, setEmail] = useState('');
+  const [password, setPassword] = useState('');
+  const [error, setError] = useState('');
+  const [loading, setLoading] = useState(false);
+
+  const handleSignUp = async (e: React.FormEvent) => {
+    e.preventDefault();
+    setError('');
+    setLoading(true);
+    try {
+      const { error } = await authClient.signUp.email({
+        name,
+        email,
+        password,
+      });
+      if (error) throw new Error(error.message);
+      router.push('/dashboard');
+      router.refresh();
+    } catch (err: unknown) {
+      setError(err instanceof Error ? err.message : 'Ошибка регистрации');
+    } finally {
+      setLoading(false);
+    }
+  };
+
+  return (
+    <div
+      style={{
+        minHeight: '100vh',
+        display: 'flex',
+        alignItems: 'center',
+        justifyContent: 'center',
+        background: 'linear-gradient(135deg, #1a1a2e 0%, #16213e 100%)',
+      }}
+    >
+      <div
+        style={{
+          width: '100%',
+          maxWidth: 400,
+          padding: 32,
+          background: '#fff',
+          borderRadius: 12,
+          boxShadow: '0 8px 32px rgba(0,0,0,0.2)',
+        }}
+      >
+        <h1 style={{ margin: '0 0 24px', fontSize: 24, fontWeight: 600 }}>
+          Регистрация
+        </h1>
+
+        {error && (
+          <div
+            style={{
+              padding: 12,
+              marginBottom: 16,
+              background: '#fef2f2',
+              color: '#dc2626',
+              borderRadius: 8,
+              fontSize: 14,
+            }}
+          >
+            {error}
+          </div>
+        )}
+
+        <form onSubmit={handleSignUp}>
+          <input
+            type="text"
+            placeholder="Имя"
+            value={name}
+            onChange={(e) => setName(e.target.value)}
+            required
+            style={{
+              width: '100%',
+              padding: 12,
+              marginBottom: 12,
+              border: '1px solid #ddd',
+              borderRadius: 8,
+              boxSizing: 'border-box',
+            }}
+          />
+          <input
+            type="email"
+            placeholder="Email"
+            value={email}
+            onChange={(e) => setEmail(e.target.value)}
+            required
+            style={{
+              width: '100%',
+              padding: 12,
+              marginBottom: 12,
+              border: '1px solid #ddd',
+              borderRadius: 8,
+              boxSizing: 'border-box',
+            }}
+          />
+          <input
+            type="password"
+            placeholder="Пароль"
+            value={password}
+            onChange={(e) => setPassword(e.target.value)}
+            required
+            minLength={8}
+            style={{
+              width: '100%',
+              padding: 12,
+              marginBottom: 16,
+              border: '1px solid #ddd',
+              borderRadius: 8,
+              boxSizing: 'border-box',
+            }}
+          />
+          <button
+            type="submit"
+            disabled={loading}
+            style={{
+              width: '100%',
+              padding: 12,
+              background: '#6366f1',
+              color: '#fff',
+              border: 'none',
+              borderRadius: 8,
+              fontSize: 16,
+              fontWeight: 600,
+              cursor: loading ? 'not-allowed' : 'pointer',
+            }}
+          >
+            {loading ? 'Регистрация...' : 'Зарегистрироваться'}
+          </button>
+        </form>
+
+        <p style={{ marginTop: 24, textAlign: 'center', fontSize: 14, color: '#666' }}>
+          Уже есть аккаунт?{' '}
+          <Link href="/sign-in" style={{ color: '#6366f1', textDecoration: 'none' }}>
+            Войти
+          </Link>
+        </p>
+      </div>
+    </div>
+  );
+}