DP basic is a very worthwhile credential to invest in at your career stage.
If you were a hiring manager looking at two otherwise equally qualified candidates, would you hire a guy that took the initiative to go get DP Basic , or the guy that expects the company to pay for it?
Things could change by then but how it is now I don’t think having the first class would improve your chances of getting hired. Places are really desperate for licensed officers they’ll hire you first and talk about DP class later. Go work for Chouest, they have their own DP school at their office you can go to or go be a third mate on a drill ship.
If you don’t get hired right out of school then consider taking the class.