Can I do a gatefold, an insert or an obi strip?

Yes. There is a print template for each of them, and a gatefold is available from 100 units.

The 12 inch gatefold template is built to a 6mm spine. Inserts are 290mm square at 12 inch and 170 by 170mm at 7 inch. Obi strips have templates in both formats, and there is a printed inner sleeve template for 12 inch.

Say which of them you want when you ask for a quote, because each one is a separate printed part and it changes the price. Vinyl artwork templates