Arcane Society (Secret Spell Society?) that basically a collection of stray magicians.

My first gripe were the way the technologies being introduced. Musket for better or worse, was invented far after cannon and have hand cannon and arquebus as preliminary inventions. It is far difficult to create a smaller barrel back then due to the lack of know-how on steel making back in the middle ages - this is why damascus steel was very famous. The first cannon were made out of bronze - and author acknowledged it after MC making his first musket - for it easier to handle and withstood gunpowder's punch much better than a pig iron product.

From doctrinal perspective, musket at best is a direct replacement for crossbows. Archers require a dedicated training for most of their life to strengthen their arm muscles. The training-intensive archery tend to be unpopular as most of the populance back then are busy with farm works. Crossbows on the other hand despite being a much more complicated machinery, it allows minimal training as long as its the light version or we put a c*cking device into play. It may reload much slower, but once reloaded all you need to do is to aim and pull the trigger. Musket make life much easier by dropping the often cumbersone device and lighter on the logistics despite their susceptibility to moisture.

If you compare this novel to something like Release That Witch, you will realize that Roland invent muzzle-loaded smoothbore cannon before dabbling firearm. Additionally, he literally used Anna as precision tools to aid in firearm productions.

the MC arrives in the new world and just says, ok, make gunpowder weapons. No regard is given to where the resources come from, where the money comes from or anything else. There are so much nitty gritty details to make a musket work, that are simply disregarded in the novel. It simply works.

similar with canons