Undo conditional skip of reanimated commits (#7867)

## Summary

This PR reverts the conditional skip of reanimated commits (#7668). This
breaks sticky headers, but fixes starvation issues, that would manifest
on C++ state updates.

To fix the stick header one must use the
`DISABLE_COMMIT_PAUSING_MECHANISM` feature flag in reanimated and the
`preventShadowTreeCommitExhaustionWithLocking` in react-native.

## Test plan

Author: bartlomiejbloniarz

packages/react-native-reanimated/Common/cpp/reanimated/Fabric/ReanimatedCommitHook.cpp

@@ -93,13 +93,7 @@ RootShadowNode::Unshared ReanimatedCommitHook::shadowTreeWillCommit(
     // it could lead to RN commits being delayed until the animation is finished
     // (very bad). We don't pause Reanimated commits for state updates coming
     // from React Native as this would break sticky header animations.
-#if REACT_NATIVE_MINOR_VERSION >= 80
-    if (commitOptions.source == ShadowTreeCommitSource::React) {
-      updatesRegistryManager_->pauseReanimatedCommits();
-    }
-#else
     updatesRegistryManager_->pauseReanimatedCommits();
-#endif
   }
 
   return rootNode;