Hello Colin, and welcome to the forum.
Hope we can be of help some. Do you have a meter? With gliclazide, you really should have one, because as you mentioned, hypo's are a possibility. Low carbing and gliclazide can indeed result in hypo's occurring too, so do be careful and make sure you test often, especially when you feel unwell, confused, suddenly panicked, sweaty, wobbly or otherwise icky.
If you want to try a low carb diet, mixing it with a higher dosage of gliclazide might not be safe. I'm all for going the diet route, but mixing those two methods... Not the best option. So rely on your meter, see where that takes you, and decide for yourself what feels right and safe for you. And do try to discuss dosage with the nurse, because this is YOUR diabetes and you have to live with it. You're not very high up in your HbA1c, so I'm wondering at why you're not allowed to just diet your way out... But maybe it's the original dosage of glic keping things in hand, I don't know.
Keep going for those walks. Keep those lungs and legs working. Yay for Labradoodles!

(I'm more of a cat person, but I know the breed, and they are absolutely reliable and loyal.)
Hang in there,
Jo
PS:
https://josekalsbeek.blogspot.com/2019/11/the-nutritional-thingy.html is a bit on low carbing, but again.... I'd not mix it with gliclazide. No, I'm putting that wrong. I DID mix it with gliclazide, because I didn't know any better. It did not go well. Do be careful.