Blackstone
Brigadier
It's a good bet they stole the designs and test data, the question is do they have the industrial base and manufacturing know-how to copy the tiles.If this is a serious project, and if they intend on this spaceplane to be reuseable, they will develop a solution (or are likely developing a solution), and I don't think anyone expects them to buy any important components (or any components at all) from the US for this thing.
In other words, yes, it's safe to assume they'll try to make this component themselves, and if they're serious about this project then they probably believe they can do it.