Welcome to PPRuNe!
Get your medical situation sorted before you invest "much" in training.
I second this advice, and regularly give it myself. Don't spend a dime on training until you get your medical sorted out.
I also second going to have a chat. A CAME is there to assess your suitability to hold a medical and will provide professional advice on how to best to obtain or continue to hold a medical if, in their opinion, TC would begin to look sideways. TC really likes to cover their behind, so you'll find the phrase "potentially disqualifying" or similar all throughout the medical standards. A CAME will interpret those qualifications for you. In fact, I'd ask your cardiologist to provide you a history to take to your CAME. They could determine whether submitting that paperwork with the medical to get ahead of TC's questions is warranted.
Best of luck!