59 Dano
I just want to make friends!
If you work both you won't get your 34 hour reset. Doesn't matter what vehicle you happen to be driving, it's whether you're DOT or not.
Also, the 34 hours can't just be any 34 hours. They have to fall during a certain time window. I forget what exactly the window is but if you start early you should check the rule to make sure you're not breaking it.
The easy way around this is to schedule someone a day off in the middle of the week. That way, they can work both Saturday and Sunday.