UC housing costs when turning pension age

Hi wondering if someone could help me?

If someone who receives UC (which includes housing costs) turns pension age do they continue to get their whole UC amount (including housing) for the entire assessment period in which they reach pension age? And if so, what happens if they claim HB from the date they reach pension age? Will they also get HB? And if they do are the UC housing costs repayable to UC? Thanks

They get both: HB is unaffected by the overlap with the final UC month, and UC is unaffected by HB.  But any pension income will reduce the UC amount in that final AP.