chore: update the extension documentation.

Includes information about the extension automatically installing `sprocket`.

docs/vscode/getting-started.md

@@ -9,24 +9,42 @@ This extension has the following features:
 
 * **Syntax highlighting** using a complete and up-to-date [TextMate grammar].
 * **Code snippets** for common constructs and conventions are included.
-* **Document and workspace diagnostics** courtesy of the language server
-  protocol implementation provided by `sprocket analyzer`.
+* **Document and workspace diagnostics from static analysis** courtesy of the
+  language server protocol implementation provided by `sprocket analyzer`.
 
 The source code for the extension is available to explore, modify, and build
-yourself at
-[`stjude-rust-labs/sprocket-vscode`](https://github.com/stjude-rust-labs/sprocket-vscode).
+yourself at [`stjude-rust-labs/sprocket-vscode`](https://github.com/stjude-rust-labs/sprocket-vscode).
 
 ## Installation
 
 ::: warning
 The Sprocket Visual Studio Code extension is currently in very early
-development. As such, you currently have to download and install the latest
-version of the `sprocket` command line tool manually before running the
-extension. You may also experience various UX issues, such as needing to
-manually restart the Sprocket extension if it crashes. We plan to improve all of
-these things as we continue to iterate.
+development. You may also experience various issues, such as needing to
+manually restart the Sprocket extension if it crashes. We plan to improve all
+of these things as we continue to develop the extension.
 :::
 
+You can install the extension from the **Extensions** tab in Visual Studio
+Code ([guide](https://code.visualstudio.com/docs/editor/extension-marketplace))
+or visit the extension's page in the Visual Studio Marketplace
+([link](https://marketplace.visualstudio.com/items?itemName=stjude-rust-labs.sprocket-vscode)).
+
+### Automatically installing `sprocket`
+
+The Sprocket extension will automatically install the latest `sprocket` command
+line tool directly from GitHub the first time it is initialized.
+
+It will also check for new versions of the `sprocket` command line tool each
+time the extension is activated.
+
+The extension will prompt you to install or update the `sprocket` command line
+tool when necessary.
+
+### Manually installing `sprocket`
+
+If a manual installation of `sprocket` is preferred, you can install the tool
+by following these instructions:
+
 To use the Sprocket Visual Studio Code extension, you first need to install the
 `sprocket` command line tool. You can do so by executing these commands.
 
@@ -37,23 +55,21 @@ To use the Sprocket Visual Studio Code extension, you first need to install the
 #     https://rustup.rs.
 
 # (2) Install the latest version of `sprocket` available.
-cargo install --git https://github.com/stjude-rust-labs/sprocket
+cargo install sprocket
 
 # (3) Make sure `sprocket` is accessible from the command line.
 sprocket --version
 ```
 
-:::
+With `sprocket` on your `PATH`, you can now configure the Sprocket extension to
+use it over an automatically installed version.
 
-Next, you can install the extension from the **Extensions** tab in Visual Studio
-Code ([guide](https://code.visualstudio.com/docs/editor/extension-marketplace))
-or visit the extension's page in the Visual Studio Marketplace
-([link](https://marketplace.visualstudio.com/items?itemName=stjude-rust-labs.sprocket-vscode)).
+Set the `Sprocket > Server: Path` setting to simply `sprocket` to use the
+`sprocket` from your `PATH`.
 
 ## Known Issues
 
-See the [known
-issues](https://github.com/stjude-rust-labs/sprocket-vscode?tab=readme-ov-file#known-issues)
+See the [known issues](https://github.com/stjude-rust-labs/sprocket-vscode?tab=readme-ov-file#known-issues)
 section of the `README.md` for a list of known issues.
 
 [TextMate grammar]: https://macromates.com/manual/en/language_grammars