Carers Element - Universal Credit - paid in advance or arrears?

Hi, I was wondering if anybody could tell me if the Carers Element of UC is in advance or Arrears.

I’ve taken a year out of my PhD research to care for my wife and applied for Carers Allowance, and notified UC of my change to a caring role (which is something I’ve done for the last three years while at Uni anyway) which I assume enabled the Carers Element.

My last day at Uni was 29th September, but our UC has come through with the full carers element for the period 4th September to 5th October - which I assume would be an overpayment?

In my Carers Allowance I’ve applied for weekly (which is how I was paid in the year before Uni - but at that time on UC there was never even a mention of Carers Element.

My wife receives the Daily PIP element and full ‘Limited capability for work and work-related activity’

I just wanted to know if they’ve dated it wrong at UC because every time we change details they get it massively wrong and we end up with overpayments or underpayments.

Just want to know if I should be holding onto this £198.31 payment to pay back!!

thanks