docs(react-native): Add shake-to-report feedback documentation (#16790)

## DESCRIBE YOUR PR

Document the new shake-to-report feature for React Native user feedback,
based on
[sentry-react-native#5754](getsentry/sentry-react-native#5754).

- Add "Shake to Report" section to the user feedback setup page
- Add `enableShakeToReport` to the General options configuration table

## IS YOUR CHANGE URGENT?

Help us prioritize incoming PRs by letting us know when the change needs
to go live.
- [ ] Urgent deadline (GA date, etc.):
- [ ] Other deadline:
- [x] None: Not urgent, can wait up to 1 week+

⚠️ Should be merged after
getsentry/sentry-react-native#5754 is released

## SLA

- Teamwork makes the dream work, so please add a reviewer to your PRs.
- Please give the docs team up to 1 week to review your PR unless you've
added an urgent due date to it.
Thanks in advance for your help!

## PRE-MERGE CHECKLIST

*Make sure you've checked the following before merging your changes:*

- [x] Checked Vercel preview for correctness, including links
- [ ] PR was reviewed and approved by any necessary SMEs (subject matter
experts)
- [ ] PR was reviewed and approved by a member of the [Sentry docs
team](https://github.com/orgs/getsentry/teams/docs)

Co-Authored-By: Claude <noreply@anthropic.com>

---------

Co-authored-by: Claude <noreply@anthropic.com>

Author: antonis

docs/platforms/react-native/user-feedback/configuration/index.mdx

@@ -39,6 +39,7 @@ The following options can be configured for the integration in `feedbackIntegrat
 | `showBranding`         | `boolean`                | `true`                                | Displays the Sentry logo.                                                                                                  |
 | `showName`             | `boolean`                | `true`                                | Displays the name field on the feedback widget.                                                                            |
 | `showEmail`            | `boolean`                | `true`                                | Displays the email field on the feedback widget.                                                                           |
+| `enableShakeToReport`  | `boolean`                | `false`                               | Opens the Feedback Widget when the user shakes the device.                                                                 |
 | `enableScreenshot`     | `boolean`                | `false`                               | Allows the user to send a screenshot attachment with their feedback.                                                       |
 | `enableTakeScreenshot` | `boolean`                | `false`                               | Determines whether the "Take Screenshot" button is displayed.                                                            |
 | `isNameRequired`       | `boolean`                | `false`                               | Requires the name field on the feedback widget to be filled in.                                                            |

docs/platforms/react-native/user-feedback/index.mdx

@@ -66,6 +66,26 @@ Sentry.init({
 
 There are many options you can pass to the integration constructor. See the [configuration documentation](/platforms/react-native/user-feedback/configuration/) for more details.
 
+### Shake to Report
+
+You can enable shake-to-report so that shaking the device opens the Feedback Widget. Enable it declaratively via the `feedbackIntegration` option:
+
+```javascript
+Sentry.feedbackIntegration({
+  enableShakeToReport: true,
+});
+```
+
+Or control it programmatically:
+
+```javascript
+// Start listening for shake gestures to open the feedback widget
+Sentry.enableFeedbackOnShake();
+
+// Stop listening for shake gestures
+Sentry.disableFeedbackOnShake();
+```
+
 ### Feedback Widget Component
 
 You can also integrate the `FeedbackWidget` component manually in your app.