Use modern OpenDocument for backup file selection (#3948)

This might also fix the underlying problem of #3947.

I don't have any nonstandard devices available, but this works fine
in an A17 Pixel emulator & on my A14 Xiaomi device.

Looks like the GetContent approach was merely carried over from older
code without being updated to the more modern OpenDocument contract.

app/src/main/java/eu/kanade/presentation/more/settings/screen/SettingsDataScreen.kt

@@ -1,7 +1,6 @@
 package eu.kanade.presentation.more.settings.screen
 
 import android.content.ActivityNotFoundException
-import android.content.Context
 import android.content.Intent
 import android.net.Uri
 import androidx.activity.compose.ManagedActivityResultLauncher
@@ -186,18 +185,22 @@ object SettingsDataScreen : SearchableSettings {
         val lastAutoBackup by backupPreferences.lastAutoBackupTimestamp.collectAsState()
 
         val chooseBackup = rememberLauncherForActivityResult(
-            object : ActivityResultContracts.GetContent() {
+            ActivityResultContracts.OpenDocument(),
-                override fun createIntent(context: Context, input: String): Intent {
-                    val intent = super.createIntent(context, input)
-                    return Intent.createChooser(intent, context.stringResource(MR.strings.file_select_backup))
-                }
-            },
         ) {
             if (it == null) {
                 context.toast(MR.strings.file_null_uri_error)
                 return@rememberLauncherForActivityResult
             }
 
+            try {
+                context.contentResolver.takePersistableUriPermission(
+                    it,
+                    Intent.FLAG_GRANT_READ_URI_PERMISSION,
+                )
+            } catch (e: SecurityException) {
+                logcat(LogPriority.ERROR, e)
+            }
+
             navigator.push(RestoreBackupScreen(it.toString()))
         }
 
@@ -232,9 +235,7 @@ object SettingsDataScreen : SearchableSettings {
                                             if (DeviceUtil.isMiui && DeviceUtil.isMiuiOptimizationDisabled()) {
                                                 context.toast(MR.strings.restore_miui_warning)
                                             }
-
+                                            chooseBackup.launch(arrayOf("*/*"))
-                                            // no need to catch because it's wrapped with a chooser
-                                            chooseBackup.launch("*/*")
                                         } else {
                                             context.toast(MR.strings.restore_in_progress)
                                         }