Convert medical-centre landing to React + Tailwind v4 with amoCRM lead capture

Ports the single-file MedCsFiz page — the medical centre that already runs
physiotherapy and wants the existing room to earn more — to the same
architecture as the fitness and hotel landings: Vite + React 19 + TypeScript +
Tailwind v4 on the client, Express 5 for the API, zod schema shared between the
two.

The original stays in legacy/index.html as the visual reference. Its 4 MB of
inlined CSS, JS and base64 images become 12 asset files (664 KB) plus a bundle
loaded on demand; the two 1.5 MB / 750 KB device PNGs are recompressed to webp.
The page is split into 18 components with all copy moved to src/data/content.ts.

Leads reuse the fitness amoCRM integration: contact lookup by phone in every
Russian spelling, deal in the first stage of pipeline 10980758, account fields
matched automatically with the rest written to a note. Rate limit, honeypot and
a localStorage fallback so a lead survives the CRM being down. Endpoint is
/api/leads/medical-centers-existing-physio; Vite runs on 5173 and the API on
3000.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>

medcenter/package.json

@@ -0,0 +1,37 @@
+{
+  "name": "exo-medcenter-landing",
+  "private": true,
+  "version": "1.0.0",
+  "type": "module",
+  "scripts": {
+    "dev": "concurrently -n client,server -c cyan,magenta \"vite\" \"tsx watch server/src/index.ts\"",
+    "dev:client": "vite",
+    "dev:server": "tsx watch server/src/index.ts",
+    "build": "tsc -b && vite build",
+    "preview": "vite preview",
+    "start": "NODE_ENV=production tsx server/src/index.ts",
+    "typecheck": "tsc -b --force",
+    "amo:check": "tsx scripts/amo-check.ts"
+  },
+  "dependencies": {
+    "@fontsource-variable/inter": "^5.3.0",
+    "dotenv": "^17.4.2",
+    "express": "^5.2.1",
+    "react": "^19.2.8",
+    "react-dom": "^19.2.8",
+    "tsx": "^4.23.12",
+    "zod": "^4.4.3"
+  },
+  "devDependencies": {
+    "@tailwindcss/vite": "^4.3.3",
+    "@types/express": "^5.0.6",
+    "@types/node": "^26.4.0",
+    "@types/react": "^19.2.18",
+    "@types/react-dom": "^19.2.5",
+    "@vitejs/plugin-react": "^6.1.1",
+    "concurrently": "^10.0.5",
+    "tailwindcss": "^4.3.3",
+    "typescript": "^7.0.2",
+    "vite": "^8.2.2"
+  }
+}