[mcp] Prompt improvements for smarter tool composition (#33108)

Our runtime results are still bogus, but so far this tweak let's the llm
use the tools a little more intelligently.

example:
---

```js
import React from 'react';

function App() {
  const [count, setCount] = React.useState(0);
  const [data, setData] = React.useState([]);

  React.useEffect(() => {
    const processData = () => {
      console.log("Processing data...");
      const newData = [];
      for (let i = 0; i < 1000000000; i++) {
        newData.push({ id: i, value: Math.random() * count });
      }
      return newData;
    };

    const processedData = processData();
    setData(processedData);
  }, [count]);

  return (
    <div>
      <p>Count: {count}</p>
      <p>Data Length: {data.length}</p>
      <ul>
        {data.slice(0, 5).map((item) => (
          <li key={item.id}>Item {item.id}: {item.value.toFixed(2)}</li>
        ))}
      </ul>
    </div>
  );
};
```
why is this component slow? use the react tools to figure this out.

> I'll analyze why this component is slow using the React tools. Let's
first evaluate the performance of the original code.
>
[review-react-runtime ...]
>
> The performance measurement tool timed out, which is a strong
indication of just how severe the performance issue is in this
component. Let's now try to compile the code to see if React Compiler
can identify any issues:
>
[compile...]
>
> Now I understand the issue. Let's analyze why this component > is
extremely slow:
> Main Performance Issues:
>
> Massive Data Processing: The component is trying to create an array
with a billion (1,000,000,000) objects in the processData function. This
is an enormous amount of data that will:
>
> Consume massive amounts of memory
> Take an extremely long time to process
> Likely crash the browser
>
>
> Unnecessary Recalculation: The effect depends on [count], meaning
every time the count changes, it will reprocess this enormous dataset.
> Inefficient Data Handling: Even though only 5 items are displayed, the
component processes a billion items.
>
> Let's fix these issues:
>
[compile...]
>
> Now let's check if our modified code performs better:
>
[review-react-runtime...]
>
> Excellent! The performance has dramatically improved. Now let's check
the React documentation to make sure we're following the best practices:
>
[query-react-dev-docs...]

(hit the maximum length conversation limit because i'm on a free plan)

Author: poteto

compiler/packages/react-mcp-server/src/index.ts

@@ -33,7 +33,7 @@ const server = new McpServer({
 
 server.tool(
   'query-react-dev-docs',
-  'This tool lets you search for official docs from react.dev. This always has the most up to date information on React. You can look for documentation on APIs such as <ViewTransition>, <Activity>, and hooks like useOptimistic, useSyncExternalStore, useTransition, and more. Whenever you think hard about React, please use this tool to get more information before proceeding.',
+  'This tool lets you search for official docs from react.dev. This always has the most up to date information on React. You can look for documentation on APIs such as <ViewTransition>, <Activity>, and hooks like useOptimistic, useSyncExternalStore, useTransition, and more. Whenever you think hard about React, use this tool to get more information before proceeding.',
   {
     query: z.string(),
   },
@@ -76,7 +76,15 @@ server.tool(
 
 server.tool(
   'compile',
-  'Compile code with React Compiler. This tool will return the compiled output, which is automatically memoized React components and hooks, written in JavaScript or TypeScript. You can run this tool whenever you want to check if some React code will compile successfully. You can also run this tool every time you make a suggestion to code, to see how it affects the compiled output. If the compiler returns a diagnostic message, you should read the diagnostic message and try to fix the code and run the compiler again to verify.',
+  `Compile code with React Compiler. This tool will return the compiled output, which is automatically memoized React components and hooks, written in JavaScript or TypeScript. You can run this tool whenever you want to check if some React code will compile successfully. You can also run this tool every time you make a suggestion to code, to see how it affects the compiled output. If the compiler returns a diagnostic message, you should read the diagnostic message and try to fix the code and run the compiler again to verify. After compiling code successfully, you should run it through the review-react-runtime to verify the compiled code is faster than the original.
+
+  <bailouts>
+  When you encounter a bailout or diagnostic message, first think and try to understand where the error is coming from. You can use tools such as puppeteer if available to browse the documentation links provided in the diagnostic, and then read that information to understand the error in more detail. You can propose fixes after doing so.
+
+  This is a non-exhaustive list of bailouts where you should take specific actions:
+  - React Compiler has skipped optimizing this component because the existing manual memoization could not be preserved: fix this by first removing the manual memo (useMemo/useCallback) and then try compiling again. use the review-react-runtime tool to verify that the compiled code can run without crashing. if it crashes, the original code likely breaks the Rules of React and so cannot be safely compiled.
+  </bailouts>
+  `,
   {
     text: z.string(),
     passName: z.enum(['HIR', 'ReactiveFunction', 'All', '@DEBUG']).optional(),