docs: Fix template names, split mixed-context code, link MCP docs

Author: beran-t

docs/use-cases/remote-browser.mdx

@@ -65,14 +65,19 @@ sandbox.commands.run(
 ```
 </Step>
 
-<Step title="Get the public URL and browse with Kernel">
-E2B exposes any sandbox port as a public HTTPS endpoint. A script inside the sandbox creates a Kernel browser, connects via Playwright, and screenshots each route.
+<Step title="Get the public URL">
+E2B exposes any sandbox port as a public HTTPS endpoint. Pass this URL to the browsing script that runs inside the sandbox.
 
 ```python
 host = sandbox.get_host(8000)
 app_url = f"https://{host}"
+```
+</Step>
 
-# This runs inside the sandbox
+<Step title="Browse with Kernel">
+Inside the sandbox, create a Kernel browser and connect via Playwright to screenshot each route. This code runs as a script inside the sandbox — it uses the Kernel SDK and Playwright that come pre-installed in the `kernel-browser` template.
+
+```python
 from kernel import Kernel
 from playwright.sync_api import sync_playwright
 
@@ -410,7 +415,7 @@ if __name__ == "__main__":
 
 ## Kernel MCP tools
 
-The [Kernel MCP Server](https://mcp.onkernel.com/mcp) exposes 10 tools over the Model Context Protocol, letting MCP-compatible clients manage browsers without any SDK installation.
+The [Kernel MCP Server](https://mcp.onkernel.com/mcp) exposes 10 tools over the [Model Context Protocol](https://modelcontextprotocol.io/) (MCP), letting MCP-compatible clients manage browsers without any SDK installation.
 
 ```bash
 kernel mcp install --target <target>  # Supports Cursor, Claude Desktop, VS Code, etc.