Just reseason the center.

Yes, you can fix it without stripping the whole pan. The center loses seasoning because that’s where the heat hits hardest and food drags most. Edges are usually fine.

Scrub the bare spot with chainmail or fine steel wool until it’s smooth and clean. No rust, no gunk. Wash with mild soap if needed, then dry thoroughly. Heat the pan on the stove to warm it up, rub in a tiny amount of high-smoke-point oil (grapeseed or canola – skip flaxseed, it