fix(nuxt): include sentry.client.config.ts in nuxt app types (#17830)

# What

Fixes #17781 by adding the `sentry.config.client.ts` to the auto
generated tsconfig by extending the types via the [`prepare:types`
hook](https://nuxt.com/docs/4.x/guide/going-further/modules#adding-type-declarations).

This allows `useRuntimeConfig` to be properly typed in the root
`sentry.client.config.ts`, or where ever the client file is found.

Not sure how this could be tested tho, since it is purely types.

<!-- CURSOR_SUMMARY -->
---

> [!NOTE]
> Adds a `prepare:types` hook to include the client Sentry config in
Nuxt’s generated `tsconfig` for proper typing.
> 
> - **Nuxt module (`packages/nuxt/src/module.ts`)**:
> - **Types setup**: Add `prepare:types` hook to ensure
`tsconfig.include` contains the relative path to the detected client
Sentry config (`sentry.client.config.ts`), enabling proper typing (e.g.,
`useRuntimeConfig`) in root config files for Nuxt v4.
> 
> <sup>Written by [Cursor
Bugbot](https://cursor.com/dashboard?tab=bugbot) for commit
4de6d43. This will update automatically
on new commits. Configure
[here](https://cursor.com/dashboard?tab=bugbot).</sup>
<!-- /CURSOR_SUMMARY -->

Author: logaretm

packages/nuxt/src/module.ts

@@ -72,6 +72,18 @@ export default defineNuxtModule<ModuleOptions>({
         mode: 'client',
         order: 1,
       });
+
+      // Add the sentry config file to the include array
+      nuxt.hook('prepare:types', options => {
+        if (!options.tsConfig.include) {
+          options.tsConfig.include = [];
+        }
+
+        // Add type references for useRuntimeConfig in root files for nuxt v4
+        // Should be relative to `root/.nuxt`
+        const relativePath = path.relative(nuxt.options.buildDir, clientConfigFile);
+        options.tsConfig.include.push(relativePath);
+      });
     }
 
     const serverConfigFile = findDefaultSdkInitFile('server', nuxt);