For the US version, you can check the wiki (you need an agent to access it). It seems that the materials you wrote need to be picked up. You don’t never pick up things, right...
Material synthesis only requires corresponding materials. The Witch's Crown and the Goddess' Crown are not in the same system, so they cannot be combined. In fact, there is no such thing as a "Witch's Crown Piece" in the game, only the complete Witch's Crown.
As the name suggests, Vendor items are used to exchange money. However, in a certain plot, you need to give a few to the doctor. After this plot, you can sell them all.
Tickets basically need to be online to get. However, the Japanese version has several download tasks on Famitsu that can also be obtained stand-alone. The American version is not yet available.
Unlock bind is the release of the Fengshen restriction. In addition to Amaterasu and Shuangzukiyomi, non-story missions with CH difficulty have a chance to obtain 005, 007, and 008. However, 006 only has the lower level of Shuangzukiyomi. There is a probability of additional rewards, so it is extremely difficult to obtain them. 010-015 can only be obtained by downloading tasks, and the US version is not currently available. But these are just some clothes, and they don’t look very good.
Gourmet is equivalent to the Japanese version of the gourmet skill, the Stick series of machine guns has it
Amteur is equivalent to the Japanese version of the Taiji skill, and the dagger Diaochan series has it
and above The two skills will also appear in DLC equipment in the future, but the US version is not currently available.
Lucky and Rarebonusrate are both DLC-limited skills and are not currently available in the US version.
Okay, you are probably tired of seeing all the "US version is not available yet" I said, but the Japanese version of this game was released half a year ago, and everyone online is playing the Japanese version. If you are in the future If you want to find someone to connect with and still use the American version, you probably won’t be able to find them, so I suggest you switch to the Japanese version, and the Japanese version has many more things than the American version.