feat(web): add persistent appointment button

web/src/components/FloatingBookingButton.css

@@ -0,0 +1,58 @@
+/* One fixed stack keeps booking and cookie consent from covering each other. */
+.booking-dock {
+  position: fixed;
+  right: 0;
+  bottom: 0;
+  left: 0;
+  z-index: 80;
+  display: flex;
+  flex-direction: column;
+  align-items: flex-end;
+  gap: 12px;
+  padding: 20px;
+  padding-right: max(20px, env(safe-area-inset-right));
+  padding-bottom: max(20px, env(safe-area-inset-bottom));
+  padding-left: max(20px, env(safe-area-inset-left));
+  pointer-events: none;
+}
+
+.floating-booking {
+  min-height: 54px;
+  max-width: 100%;
+  padding: 0 24px;
+  font-size: 16px;
+  box-shadow: 0 6px 22px rgba(242, 97, 84, 0.3);
+  pointer-events: auto;
+}
+
+.floating-booking svg {
+  flex-shrink: 0;
+}
+
+.floating-booking:focus-visible {
+  outline: 3px solid var(--navy);
+  outline-offset: 4px;
+}
+
+.booking-dock > .cookie-banner {
+  position: static;
+  align-self: center;
+  width: min(900px, 100%);
+  transform: none;
+  pointer-events: auto;
+}
+
+@media (max-width: 767px) {
+  .booking-dock {
+    padding: 12px;
+    padding-right: max(12px, env(safe-area-inset-right));
+    padding-bottom: max(12px, env(safe-area-inset-bottom));
+    padding-left: max(12px, env(safe-area-inset-left));
+  }
+
+  .floating-booking {
+    min-height: 50px;
+    padding: 0 20px;
+    font-size: 15px;
+  }
+}

web/src/components/FloatingBookingButton.jsx

@@ -0,0 +1,21 @@
+import { useLeadModal } from '../context/LeadModalContext.jsx';
+import './FloatingBookingButton.css';
+
+export default function FloatingBookingButton() {
+  const { open } = useLeadModal();
+
+  return (
+    <button
+      type="button"
+      className="btn btn--coral floating-booking"
+      onClick={() => open({ form: 'appointment' })}
+      aria-haspopup="dialog"
+    >
+      <svg width="22" height="22" viewBox="0 0 24 24" fill="none" stroke="currentColor" strokeWidth="1.8" strokeLinecap="round" strokeLinejoin="round" aria-hidden="true">
+        <rect x="3" y="5" width="18" height="16" rx="3" />
+        <path d="M16 3v4M8 3v4M3 11h18M9 16h6M12 13v6" />
+      </svg>
+      Записаться
+    </button>
+  );
+}

web/src/components/Layout.jsx

@@ -3,6 +3,7 @@ import { Outlet, useLocation } from 'react-router-dom';
 import Header from './Header.jsx';
 import Footer from './Footer.jsx';
 import CookieBanner from './CookieBanner.jsx';
+import FloatingBookingButton from './FloatingBookingButton.jsx';
 import { SiteDataProvider } from '../context/SiteData.jsx';
 import { LeadModalProvider } from '../context/LeadModalContext.jsx';
 import { getConsent, hit, startMetrika } from '../lib/metrika.js';
@@ -33,7 +34,10 @@ export default function Layout() {
             <Outlet />
           </main>
           <Footer />
-          <CookieBanner />
+          <div className="booking-dock">
+            <FloatingBookingButton />
+            <CookieBanner />
+          </div>
         </div>
       </LeadModalProvider>
     </SiteDataProvider>