I launched a couple of instances and I think I have reproduced your issue. In a LAMP instance, which uses a new approach for installing dependencies (approach A in the guides), I got errors trying to compile
imagick because some missing libraries. Did you face that error as well?
I launched a WordPress instance, which uses approach B, and I got the
imagick information below out of the box with many
ImageMagick supported formats. Can you use the WordPress instance to install your application on top of it? You can also uninstall the WordPress application if you don't need it.