3rd person limited or 3rd person omniscient pov here?

Hi teachers, it seems I am a little confused with pov again with my story. For this scene, I have been writing in the pov of character Sara (3rd person limited), but I want to know if Tyler here breaks the 3rd person limited pov.

"Sara stood still and waited for her friend to respond. Finally, he did. Tyler kissed her hand in an effort to show how much he still cared for her."

I am confused because if this is 3rd person limited and this scene is from Sara's pov, would she know that Tyler's intention of kissing her hand was to show how much he still cares for her? Or, should I reword it differently, like:

"Sara stood still and waited for her friend to respond. Finally, he did. Tyler kissed her hand, and she assumed it was to show how much he still cared for her."

So, if the second version is 3rd person limited, does that make the first one 3rd person omniscient? Which one is generally better for writing short stories?

I am confused but I hope teachers can help me here. Thank you!