There is a private clinic that is more streamlined: GAM Medical. You have to pay out of pocked, but honestly, even without a high paying job, it's easier to get the money than it is to jump through all those hoops. My insurance (GKV) costs me € 1100 per month, but I still pay a few 100 out of pocket for meeting their psychiatrist once and paying for my meds.
It's not perfect, though. They too seem to miss the point that it's hard for us to keep pushing and prodding for the next step. I wish it were just a series of automatic appointments. It's slow, you'll have to keep pushing, mailing, calling them for the next and the next and the next step, but in like 6 months, there's a good chance you got your diagnosis and your treatment, be it therapy, meds or both.
I got pretty frustrated with them, but unlike every other option I tried, they delivered - eventually.
You could, in theory, also use them just to get diagnosed. Then, it would be easier to find a psychiatrist for the prescription, because at that point, that's a lot of money for very little effort for a doctor. Could even have insurance pay. Extra work, though.
Same happened with my post ...
Yes, the one thing that got better from meds alone is that I can just make the decision to start something, and I'll do it. And that is fantastic! But my forgetfulness and "senile" behaviour is the same. I'm basically Joe Biden on speed. Mistakes happen, but things get done.
And it feels like I got "better" at doomscrolling. New trap, but I'm on it.
The thing with the spreadsheet is absolutely justified, keep it. I use my mail client to mark things as "todo", "urgent" etc., but guess what happens ... nothing.