fix(docker): add healthcheck + depends_on condition on web service

Previously web started immediately after the api container launched, not
after it was ready. Playwright tests then hit the web server before the
nginx process had fully started, causing connection refused errors.

Now:
- api has a 30s startup grace via start_period and 20 retries
- web waits for api to be healthy (not just started)
- both services verify readiness before dependent steps proceed

Co-Authored-By: Paperclip <noreply@paperclip.ing>

docker-compose.yml

@@ -43,6 +43,12 @@ services:
         condition: service_healthy
       migrate:
         condition: service_completed_successfully
+    healthcheck:
+      test: ["CMD-SHELL", "curl -f http://localhost:3000/health || exit 1"]
+      interval: 5s
+      timeout: 5s
+      retries: 20
+      start_period: 10s
 
   web:
     build:
@@ -53,7 +59,14 @@ services:
     extra_hosts:
       - "host.docker.internal:host-gateway"
     depends_on:
-      - api
+      api:
+        condition: service_healthy
+    healthcheck:
+      test: ["CMD-SHELL", "curl -f http://localhost:80 || exit 1"]
+      interval: 5s
+      timeout: 5s
+      retries: 20
+      start_period: 10s
 
 volumes:
   postgres_data: