Annoyed with my picky eater😓

My two year old knows what he likes and doesn’t like. He started getting REALLY hesitant to try things. But when I make a meal, it is what it is. I’m not serving him plan B because there is none. After I had offered the food, he’ll walk up to the pantry and ask for a snack. Which I ALWAYS refuse. Unless he’ll take fruit. I don’t know what to do. He also doesn’t sit and eat. He’s a grazer so he‘ll run around, take a bite, and continue. So I usually feed him. But I think I allowed a bad habit because he’s not being able to focus on eating, experiment, and self feed. But he does typically snack all day. Because that’s what all toddlers do! Should I put him on schedule to eat instead of allowing him to snack when he pleases? Help lol