Hello newbie.
I'm sorry you've had some collateral damage, as a result of something I'm sure you were probably doing to improve something else?
I have no experience or Barrett's, and indeed had to look it up. In the search results returned, there was lots of reference to reflux and so on. My comment may be unfounded and not apply to you, so forgive me it that's the case.
But, when I was diagnosed, I decided to reduce my carbohydrate intake, as a means of getting my bloods into order. It worked extremely well. My OH also follows this way of eating, although he has a few more carbs than me, and drinks the odd beer. One comment he made after a couple of months was he had noticed a marked improvement to his gastric reflux which he sometimes suffers, relating to a very long-standing hiatus hernia. His Gaviscon consumption fell off a cliff.
Interestingly, over the longer term this has very much proven to relate to his carbohydrate consumption. When we are apart, he will tend to indulge himself with increased carbs he wouldn't cook for himself if we were dining together, so he has proven the lower carbs improve his reflux, and when he increases them, he needs Gavison again.
I don't know what others on this forum have found, but I know that elsewhere where I am a member, these findings are not unusual.
I don't know what dietary requirements you have relating to your Barrett's, oe what sort of diet you are following, but it could be interesting to try trimming a few carbs off your diet, if you can, and see what happens.
Good luck with managing your pre-diabetes. I wouldn't beat myself up over a +/-1 on an HbA1c at all. You never know, you could have been teetering between the two numbers last time, but got rounded down, and this time rounded up (if you know what I mean).