Fix: add retry loop for API health check (same as frontend)

API takes time to initialize — immediate curl always fails.

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

deploy.sh

@@ -300,7 +300,15 @@ info "Step 12: Verifying deployment..."
 
 FAIL=0
 
-if curl -sf "http://127.0.0.1:${API_PORT}/docs" > /dev/null; then
+info "  Waiting for API to be ready..."
+API_OK=0
+for i in $(seq 1 24); do
+  if curl -sf "http://127.0.0.1:${API_PORT}/docs" > /dev/null 2>&1; then
+    API_OK=1; break
+  fi
+  sleep 5
+done
+if [ "$API_OK" -eq 1 ]; then
   info "  API (port ${API_PORT}): OK"
 else
   warn "  API (port ${API_PORT}): not responding — check 'docker compose logs api'"