Hey! I love reading guides like this, well-written, great breakdown of statistics, informative tables and the helpful images. The one thing missing is the shapes for the Forest tiles.
I'm fairly experienced with ~250 games under my belt but I still feel like I have a lot to learn and I am in awe at how top players crush me.
My approach is exactly as you describe in
Have a vision of your ideal board and build it. do this before I make my first move. I have a loose valuation of all the edicts in my head, similar to what you wrote down in your categorisation of edicts - which is beautiful, by the way.
When you start a game of Cartographers the first thing you should do is look at the four edicts and form a clear picture in your mind of what a winning board will look like. This will vary widely based on the combination of edicts, but you should be able to get a sense of how your board should be constructed to score the most points.
Coins is an interesting topic - when I started playing I went all out for coins, surrounding mountains ASAP, always picking the coin tiles. With experience I became less attached to them. As you describe, it's usually simple mathematics to figure out whether it's best to choose a coin in a given moment.
As I play more games I am becoming more conscious of the possible shapes for each category, but I'm not yet at the level where I can plan effectively for this - especially in relation to monsters.
Speaking of which, my biggest weakness is monsters. I feel like I don't place my monsters in the best positions. I'm always weighing up between whether to interfere with a high-potential edict or to dump them in an empty space. I usually opt for the latter - but stronger opponents find a way to surroun monsters easily and place monsters that are impossible for me to surround efficiently. I can't figure that out. There are so many tile shapes it's impossible to plan for all of them, right? That said, I had no idea there are only 4 possible Ambush shapes and they can only appear once, so that's useful to know.
Thanks!