Iphone App

I use Cronometer on my desktop, it's easier to see and manipulate. I would like to put in on my IphoneX, but when I look at the apps in Itunes it says I need to pay $2.99. I'm a gold Cronometer member, do I still need to buy the app for my iphone? Thanks! Also, when the app is on my Iphone, will it sync with my desktop?

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