How can I bake an array animation?

I have an object with an array modifier. I animate this array, using empty as “object offset” (like in this tutorial - https://www.youtube.com/watch?v=COCFd_BKqLw ).


How can I bake this animation, (in order to transfer it into Unity then)?

I tried to bake the animation, via “Bake Action” but it seems that baking option works only with the first element in an array.
Thank you!