Cabana Bay refillable mug questions

[Potterer]

We are looking to get the refillable mugs and I know they work like Disney ones within Bayliner Diner, but can we refill them at the Hideaway Pool Bar and Grill or is it just the diner?

I believe there is a Coke Freestyle machine in the bowling alley upstairs, can you use the Cabana Bay cup for that or does it have to be the Coke Freestyle cup you purchase for the parks?

We are getting the Coke Freestyle mugs for the parks anyway so we are wondering if it works in Cabana Bay's bowling alley Coke Freestyle machine or just machines located within the parks.

We will be getting both cups because we want coffee etc for breakfast so need a refillable mug for the resort rather than paying OOP.

Thank you if you managed to understand this ramble of questions