fix: write env vars to .env.production for Amplify SSR runtime

amplify.yml

@@ -0,0 +1,22 @@
+version: 1
+frontend:
+  phases:
+    preBuild:
+      commands:
+        - npm ci --cache .npm --prefer-offline
+    build:
+      commands:
+        # Write env vars to .env.production for Next.js SSR runtime
+        - env | grep -e AI_MODEL >> .env.production
+        - env | grep -e AI_PROVIDER >> .env.production
+        - env | grep -e OPENAI_API_KEY >> .env.production
+        - env | grep -e NEXT_PUBLIC_ >> .env.production
+        - npm run build
+  artifacts:
+    baseDirectory: .next
+    files:
+      - '**/*'
+  cache:
+    paths:
+      - .next/cache/**/*
+      - .npm/**/*