My cousin in Fife is on them via NHS weight management programme and I have been on them privately and offered them via NHS England. I'm not sure what the referrals process is like or if it differs but I imagine it will be similar.
I can see in your post you've said you have hypertension and cardiovascular disease. Your doctor will probably want to do some tests to see to what degree this affects you but it puts you in a better place to access mounjaro - with the information I personally have been given from the provider used in my area.
Here in England I was referred to oviva via the NHS. You still have to attend webinars.
I've gone for the surgical route myself, as I've tried the WLI both wegovy and mounjaro, found my weight loss was better on mounjaro, and as they would only offer me wegovy which gave me a 6kg loss over 12 months it felt like the best option, as a 6kg loss is a drop in the ocean for me.
In the surmount 3 phase 3 trials, there was an average of a 20 to 26% weight loss afaik for mounjaro.
They currently only offer it for up to 2 years as well and there is an overwhelming likelihood of regaining the weight after that time if you're not on an extended or possibly lifelong maintenance plan which the NHS don't currently offer.
The reason I'm no longer paying privately for mounjaro is that even though I lost more weight on that than wegovy, the weight loss just stopped for an extremely extended period of time despite being extremely rigorous with my calorie counting and I also can't afford to keep paying for something that works so slowly for me.
I'm a big advocate for the medication because I've seen how miraculous it can be for weight loss, and I definitely think they're worth a try if you're not sold on an irreversible surgical procedure, but you would need to be realistic about your maintenance. Some private providers offer maintenance where the NHS does not but that means you will have an increase in costs, or you would have to work really hard at changing your eating habits whilst being mindful that the food noise will come back and that's just part of obesity as a disease. At the same time, you still have to make those changes if you opt for surgery too, even moreso, because you're at risk of becoming malnourished so everything you put into your body counts.
Before you commit to it it's also really important to read up on the side effects and if you do get any, don't minimise them.
Sorry I don't live local but hope I've been able to give you some information to go on and hope some Scottish mumsnetters come along and correct me if I've drawn any false parallels.