The first thing to say about diet is that there isn't a one-size-fits-all for us Type 2s as we are all different in our body's response to carbohydrate. However, there are some obvious things like sweets, chocolate, cakes, biscuits, soft drinks (unless diet) etc that we should drop, almost all breakfast cereals and also starchy carbohydrates like bread, potatoes, pasta and rice. Where cereals, bread, pasta and rice are concerned switching to wholegrain varieties is generally recommended but with reduced portion sizes.
Eat as much fresh meat, fish, salads and green veg as you like but be careful with fruit. Tropical varieties like bananas are quite high in carbohydrate. Most of us opt for berry fruits like strawberries, raspberries etc.
There's lots of dietary advice on the site and Forum Members will chip in with what works for them. As I said, diet is very individual but you'll soon work it out. You'll become an expert at reading the nutritional information on food packaging, checking out the carb content.
The best way to figure out what works for you is to test your BG just as you're about to eat and than again 2 hours later. If your BG is more than 2 or 3 higher on the second test then you might want to reconsider that meal option. However, to do this you would need to invest in a meter, lancets and test strips as your GP Practice is unlikely to provide you with one.
Oat Milk actually has more carbs that semi-skimmed milk but I use it in coffee because it has less than half the saturated fat. For tea, though, only milk will do for me.
An HbA1c of 61 is not that far across the threshold for diabetes (mine was 114 at diagnosis) so by reducing your carb intake (less than 130g per day is considered Low Carb), exercising and (if needed) losing some weight you should be able to bring it down.
Martin