docs: update API documentation, static OpenAPI file, and Swagger/Redoc display

README.md

@@ -102,11 +102,18 @@ Two documentation formats are provided:
 
 ### OpenAPI 3.1
 
-Location: [`docs/openapi/openapi.yaml`](docs/openapi/openapi.yaml)
-Visual UI available locally:
+Specification file: [`docs/openapi/openapi.yaml`](docs/openapi/openapi.yaml)
+
+API documentation available via Swagger UI and Redoc:
+
+**Local (development)**
 - Swagger UI → http://localhost/swagger.html
 - Redoc → http://localhost/redoc.html
 
+**Production (read-only)**
+- Swagger UI → https://api.task.coolerk.com/swagger.html
+- Redoc → https://api.task.coolerk.com/redoc.html
+
 ### Postman Collection
 
 Location: [`docs/postman/task_manager_api.postman_collection.json`](docs/postman/task_manager_api.postman_collection.json)

docs/openapi/openapi.yaml

@@ -23,8 +23,8 @@ servers:
       port:
         default: '80'
         enum: [ '80', '8080', '8000' ]
-  - url: https://dev.coolerk.com
-    description: Production (placeholder)
+  - url: https://api.task.coolerk.com
+    description: Production (Live API)
 
 tags:
   - name: Auth