Fix running iOS timers when the proximity sensor is engaged (#41262)

Summary:
When the proximity sensor is engaged and it detects "close", the screen is disabled so timers stop working. Treat the close proximity status as if the app went into the background so CADisplayLink based timers are not used.

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## Changelog:

[iOS] [Fixed] - Fix running timers when the proximity sensor detects close

Pull Request resolved: #41262

Reviewed By: dmytrorykun

Differential Revision: D50839017

Pulled By: cipolleschi

fbshipit-source-id: 3f7dc47d346eb88b687c8219fc905cf2a42262fe

packages/react-native/React/CoreModules/RCTTiming.mm

@@ -129,7 +129,9 @@ - (void)setup
   _timers = [NSMutableDictionary new];
   _inBackground = NO;
   RCTExecuteOnMainQueue(^{
-    if (!self->_inBackground && [RCTSharedApplication() applicationState] == UIApplicationStateBackground) {
+    if (!self->_inBackground &&
+        ([RCTSharedApplication() applicationState] == UIApplicationStateBackground ||
+         [UIDevice currentDevice].proximityState)) {
       [self appDidMoveToBackground];
     }
   });
@@ -151,6 +153,11 @@ - (void)setup
                                                  name:name
                                                object:nil];
   }
+
+  [[NSNotificationCenter defaultCenter] addObserver:self
+                                           selector:@selector(proximityChanged)
+                                               name:UIDeviceProximityStateDidChangeNotification
+                                             object:nil];
 }
 
 - (void)dealloc
@@ -187,6 +194,16 @@ - (void)appDidMoveToForeground
   [self startTimers];
 }
 
+- (void)proximityChanged
+{
+  BOOL isClose = [UIDevice currentDevice].proximityState;
+  if (isClose) {
+    [self appDidMoveToBackground];
+  } else {
+    [self appDidMoveToForeground];
+  }
+}
+
 - (void)stopTimers
 {
   if (_inBackground) {