I use the Tassimo Costa Americano pods and then add about 30ml of double cream. I don't think it will hurt to finish your supply of the cappuccino and latte pods - just test so you know what they do to your BG. If the rise isn't too bad then carry on as you have done.
If you are unhappy with the rise to breakfast then perhaps look at changing the fat content of your morning coffee ...
My BG can make it past 11 if I skip or have a late breakfast. I now get up about 6:30 specifically to get breakfast into me - not being a lark in any shape or form makes it difficult but I'm determined to get my Type 2 under control. You may find that it affects you very differently - trial and error and testing everything is the way to go.
I try to eat as few carbs as possible during the day - saving them for my evening meal - but that is because they raise my BG too high for my liking during the day. I also only have 20-30 g - again my body doesn't deal well with them - you may find something different works for you.
You'll find out what works for you I'm sure