docs: describe installation via pip

Author: alukach

README.md

@@ -48,21 +48,18 @@ uvicorn --factory stac_auth_proxy:create_app
 
 ### Installation
 
-For local development, we use [`uv`](https://docs.astral.sh/uv/) to manage project dependencies and environment.
+The application can be installed as a standard Python module:
 
 ```sh
-uv sync
+pip install stac-auth-proxy
 ```
 
-Otherwise, the application can be installed as a standard Python module:
+For local development, we use [`uv`](https://docs.astral.sh/uv/) to manage project dependencies and environment.
 
 ```sh
-pip install -e .
+uv sync
 ```
 
-> [!NOTE]
-> This project will be available on PyPi in the near future[^30].
-
 ### Configuration
 
 The application is configurable via environment variables.