chore(docs): fix install instructions

Author: alukach

README.md

@@ -23,7 +23,7 @@ STAC Auth Proxy is a proxy API that mediates between the client and an internall
 
 ### Installation
 
-For local development, his project uses [`uv`](https://docs.astral.sh/uv/) to manage project dependencies and environment.
+For local development, we use [`uv`](https://docs.astral.sh/uv/) to manage project dependencies and environment.
 
 ```sh
 uv sync
@@ -32,7 +32,7 @@ uv sync
 Otherwise, the application can be installed as a standard Python module:
 
 ```sh
-python3 install src
+pip install -e src
 ```
 
 ### Running