Upgrading the crankset - Scott Aspect 960 First of all a big thank you for everybody who can help out with the question!
The bike is Scott Aspect 960: https://www.scott-sports.com/gb/en/product/scott-aspect-960-red-bike
Currently the highest gear ratio is 36/11. I'm looking to upgrade that to go on a more slower cadence on long gravel routes at a higher speed.
Would replacing the front cassette with this one do the job: https://www.bike-discount.de/en/shop/crank-2-3-x-8-speed-409/l-24
The shifter for the crankset has 2 gears listed, but the crankset here has three gears. What are the solutions for upgrading?

More info:  When we need to go with a 2 ring crankset, would this work:
https://bike.shimano.com/en-EU/product/component/shimano/FC-M315-2.html
https://www.modernbike.com/shimano-alivio-m415-42t-7-8-speed-outer-chainring
I'm anyways looking to upgrade the crankset to a Shimano one, so would it fit with this larger chainring?
As I understand, I would need to put on a longer chain then as well?
You have 2 choices: upgrade to a Shimano 2 chainring crank, keep the left shifter, or upgrade to a 3 chainring crank and replace the left shifter with a 3x version.
In both cases the crank must be compatible with '8 speeds'. Sprocket spacing in both the rear cassette and chainrings get progressively narrower as the number of sprockets goes up, and chains get progressively narrower too.
Before you purchase a crank, you need to check that you have clearance between the chainrings and drive-side chainstay. All bike frame have a maximum chainring size they can accommodate. Also check that you can move the front derailleur up slightly to align with the larger rings.
Replacing just the large chainring is not a great idea. Front derailleurs are designed to work with a certain size difference between the chainrings. If you exceed that upshifting will be poor or will not work at all.
Chainring replacement is tricky, there are many ways for rings to be incompatible with cranks. Many lower end cranks do not even have replaceable rings, the rings and spider are a single stamping and riveted together. The crank you linked to has this construction.