Write a pseudocode algorithm which when given an ArrayList of integers and a rotation amount will modify the ArrayList and rotate each value to the right by the rotation amount $($wrapping around the ArrayList$).$ Also, give the big O of your algorithm.

For example, given the ArrayList $[2,4,5,1,2]$ and rotation amount $3,$ the function should change the ArrayList to $[5,1,2,2,4].$

The method signature should be rotate$\_$array$\_$list$($ArrayList list, int rotate$\_$amount$)$