Get right bridge (#2886)

## Description

This PR fixes getting access to right bridge, because `currentBridge`
method can return invalid pointer when more than one instance of react
exists in the application. Same changes we made in the Reanimated -
software-mansion/react-native-reanimated#5953

## Test plan

I tested FabricExample on iOS with/without bridge, after startup and
after reload, and it seems to work.

apple/RNGestureHandlerModule.mm

@@ -53,7 +53,6 @@ @implementation RNGestureHandlerModule {
 
 #ifdef RCT_NEW_ARCH_ENABLED
 @synthesize viewRegistry_DEPRECATED = _viewRegistry_DEPRECATED;
-@synthesize bridge = _bridge;
 @synthesize dispatchToJSThread = _dispatchToJSThread;
 #endif // RCT_NEW_ARCH_ENABLED
 
@@ -133,14 +132,14 @@ - (void)setBridge:(RCTBridge *)bridge
 RCT_EXPORT_BLOCKING_SYNCHRONOUS_METHOD(install)
 {
   dispatch_block_t block = ^{
-    RCTCxxBridge *cxxBridge = (RCTCxxBridge *)[RCTBridge currentBridge];
+    RCTCxxBridge *cxxBridge = (RCTCxxBridge *)self.bridge;
     auto runtime = (jsi::Runtime *)cxxBridge.runtime;
     decorateRuntime(*runtime);
   };
   if (_dispatchToJSThread) {
     _dispatchToJSThread(block);
   } else {
-    [[RCTBridge currentBridge] dispatchBlock:block queue:RCTJSThread];
+    [self.bridge dispatchBlock:block queue:RCTJSThread];
   }
 
   return @true;