I think your confusion stems from conflating Frame Stack and Reach with Pad X,Y. Pad X,Y is sometimes referred to as pad stack and reach, and even occasionally as just stack and reach. Both refernces are bad ideas.

Same concept and both use the center of bottom bracket for one point. Frame S&R uses the middle of the top of the headtube for the 2nd point while Pad X,Y uses either the center or back of the elbow rest (pad removed) for the 2nd point. There are good arguments for back of the rest, but most are still using the center. So Pad X,Y numbers are going to be longer and taller than Frame S&R numbers. The pad numbers are going to be far more relevant to your fit, and most intelligent tri bike manufacturers are publishing some type of Pad X,Y adjustment range for their bikes.

Pad X,Y makes bike selection almost plug and play, excepting the choice of a particular size when your Pad #s fit multiple sizes.

Your position could be recreated and the proper Pad X,Y measurements taken. That would be my advice. Your fitter could recreate the position, measure to the pads, and email you the #s and some bikes that would work in about 10:00 of their time.

Thanks for taking the time to answer!
I have attached the fit report. Which of these measurements are the ones i should use to compare to what the companies have?
I feel like so many different numbers are thrown out on the different companies websites.
E.g. canyons number are very different from some of theo thers.

You mention your stack is 590-606, but the fit report shows pad y to 714mm. That's the number that really matters.

Also... when looking at your fit report, you have a saddle tilt of -7 degrees. Thats huge. And when a saddle is tilted that far down, it usually means your fit is less than stellar. Before buying a new bike, I would suggest revisiting your fit.

Is it, because that is where i lose the overview? Because there is NO bike with stack above 610. So if i needed 714 that would be impossible to find. Just browsing, BMC, Cervelo, Felt, Shiv, all their stack numbers are in the (for XL/61 bike) 570-610 range. So if the 714 mm is the number i should use to find a new bike, i feel that would be impossible/it is not the right number to be looking for?

For point nr 2: I get the point, and i know it is pointed downwards, but i would have believed 2-3 degrees max. When you say revisiting, do you mean get a completely new fit, on a muve bike and use those coordinates to find a new proper bike?

The reach and stack that the bike companies list are:
445/565 trek speed concept
445/590 Shiv
430/600 Plasma
435/553 BMC
445/572 IA FRD
So all of those are very far from the 700 number, but closer to the 600 number he gave me back then

Ideally you'd use Pad Stack from BB and Pad Reach from BB, but due to a number of reasons, bike brands don't offer that information.

Assuming your fit is good (a picture would help of you on the bike), there's no great mystery that you need a really big bike with a saddle height of 862 mm. I'm concerned that your fit is a little too much on the narrow side, and there may be room for improvement in stretching you out or bringing you a bit forward. But I don't think that will negatively impact your bike shopping.

I've attached the first page of the fit report we generate using armpad geometry that may be of help.

I have a picture from the muve fit which i for unknown reasons cannot acces from here but will upload later.

Position looks fair, but your face looks terrible in this pic.

Your fitter should have told you the exact bike, in the exact size, with the exact stem and spacer configuration, with the exact base bar, and the exact pads and extensions, in their exact configuration, with the exact angles, to meet your position.

Are you basing your changes off of a fit 3 years ago? If so, has your hip flexor range improved? You should have your bike refit. Get some newer physical assessment numbers then go from there.