How to make Savings Goals work with Budget automatically?

I establish a savings goal - let's say Fall Trip 2022. I want to save $5,000 by Sept 1. The Savings Goal planner tells me I need to contribute $625 each month in order to meet that goal.

I go into my budget and add Fall Trip 2022 to the view. Is there any way to make the budget automatically aware that the savings goal says I should save $625 per month? And then use that value in the budget?