docs(android): Add shake-to-report feedback documentation (#16792)

## DESCRIBE YOUR PR

Document the new shake-to-report feature for Android user feedback,
based on
[sentry-java#5150](getsentry/sentry-java#5150).

- Add "Shake to Report" section to the user feedback setup page with
Java/Kotlin examples
- Add `useShakeGesture` option to the Form Configuration table

## IS YOUR CHANGE URGENT?

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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-java#5150 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:*

- [ ] 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>
Co-authored-by: Roman Zavarnitsyn <rom4ek93@gmail.com>

Author: 3 people

docs/platforms/android/user-feedback/configuration/index.mdx

@@ -99,6 +99,7 @@ You can customize which form elements are shown, whether they are required, and
 | `showName`                    | `Bool`   | `true`                                   | Displays the name field on the feedback form. Ignored if `isNameRequired` is `true`.                                      |
 | `isEmailRequired`             | `Bool`   | `false`                                  | Requires the email field on the feedback form to be filled in.                                                            |
 | `showEmail`                   | `Bool`   | `true`                                   | Displays the email field on the feedback form. Ignored if `isEmailRequired` is `true`.                                    |
+| `useShakeGesture`             | `Bool`   | `false`                                  | Opens the feedback form when the user shakes the device. Uses the accelerometer and requires no additional permissions.    |
 | `useSentryUser`               | `Bool`   | `true`                                   | Sets the `email` and `name` fields to the corresponding Sentry SDK user fields that were called with `SentrySDK.setUser`. |
 
 Example:
@@ -111,6 +112,7 @@ Example:
     <meta-data android:name="io.sentry.feedback.show-email" android:value="false" />
     <meta-data android:name="io.sentry.feedback.use-sentry-user" android:value="false" />
     <meta-data android:name="io.sentry.feedback.show-branding" android:value="false" />
+    <meta-data android:name="io.sentry.feedback.use-shake-gesture" android:value="true" />
 </application>
 ```
 ```java
@@ -121,6 +123,7 @@ SentryAndroid.init(context, options -> {
     options.getFeedbackOptions().setShowEmail(false);
     options.getFeedbackOptions().setUseSentryUser(false);
     options.getFeedbackOptions().setShowBranding(false);
+    options.getFeedbackOptions().setUseShakeGesture(true);
 });
 ```
 ```kotlin
@@ -131,6 +134,7 @@ SentryAndroid.init(this) { options ->
     options.feedbackOptions.isShowEmail = false
     options.feedbackOptions.isUseSentryUser = false
     options.feedbackOptions.isShowBranding = false
+    options.feedbackOptions.isUseShakeGesture = true
 }
 ```
 

docs/platforms/android/user-feedback/index.mdx

@@ -44,6 +44,26 @@ val widget = SentryUserFeedbackButton(context)
 ```
 
 
+## Shake to Report
+
+You can enable shake-to-report so that shaking the device opens the User Feedback form. This uses the device's accelerometer and does not require any additional permissions.
+
+```java
+SentryAndroid.init(context, options -> {
+    options.getFeedbackOptions().setUseShakeGesture(true);
+});
+```
+```kotlin
+SentryAndroid.init(this) { options ->
+    options.feedbackOptions.isUseShakeGesture = true
+}
+```
+```xml {filename:AndroidManifest.xml}
+<application>
+    <meta-data android:name="io.sentry.feedback.use-shake-gesture" android:value="true" />
+</application>
+```
+
 ## User Feedback Form
 
 The User Feedback form allows users to submit feedback from anywhere inside your application.