If it is new HSC, then you have to force them to use it, and you can't mix it with anything else otherwise they will do everything they can to avoid it like the plague. I have seen them split up the brood nest in many sections to avoid it. Once they do use it, it will be accepted just as any comb.
I would put the queen in a new hive body with the HSC and put a queen excluder between that and the current super with brood. Once the brood hatches, remove that hive body, so they only have HSC.
It can be quite the challenge to get them on HSC, getting them to store nectar and pollen in the cells seems to help get the queen to lay in them. Brood pattern will be very spotty for the first couple brood cycles, so don't get concerned about the queen.
With a little patience you will get some nice brood patterns.