Confused by this need some clarification in middle of UC Migration

So, one week on Monday I will find out what my UC statement will be. Edit - my HB has already stopped etc and now no longer showing on my council account.
However, I've already received the ESA stop letter last week with date of final payment also last week, but using the automated JCP enquiry line it seems I've another ESA payment coming exactly 2 weeks since last weeks final payment and normal day etc, next week one week before the statements issued.
Obviously, I've known re 2 week etc for ages but last week's was 2 weeks after submitting claim with final letter etc.
So not sure what this other payment is and if it will mess up my first statement?
I've checked the Journal daily just to see if anything is altered on there yet but nothing only what the 3 elements should be for on the statement date etc.
Is this the 2 week 'run on' only it's very close to my first statement hence my question?
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