If you received your control after July 1st, 2020 it will NOT need to be charged.
It comes with a replaceable CR123A battery (also might be called A123) which can be purchased anywhere batteries are sold.
They look like a short double A battery.
This image shows only a sampling of the brands, and even variations within the brand. You should not have a problem finding the battery when it comes time to change it. You can select your favorite brand (not all brands are shown here).