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Okay, thank you very much!

The PID is forced. If you drag the file into PKHeX multiple times, you'll see that you can only get the same PID. What isn't completely forced is the IVs. It is random, but must have three 31 IVs.

Okay, thanks a lot for clarifying the information for me!

So for Gen 8, how it works is that the exact same card for a particular event is redeemed by everyone, then the game itself rolls appropriate details. So in this scenario, the nickname is left blank, so it rolls based on the receiving language (mon language is left unset). The PID (in this case Shiny PID) has a preset value, so everyone uses that. If you look at EC, it's all 0s. Meaning that is unset and is set randomly by the receiving game. If you look at IVs, you'll see that it says 'Set IVs'. Not every event has set IVs, but in this case they're all preset. I don't know what else I can tell you. As I said previously, out of PID/EC/TID/SID that you mentioned, only EC can be random. There are only so many different ways I can convey the same info.

Depends on the event.. Our event gallery might mention if the event has a static PID or dynamic one.

In this Zamazenta's case, out of the 4 things you've mentioned, the only thing that can be changed is the EC. Everything else is preset on the Wonder card.

If it's not meant to be changed, then no matter how you change them, they'll be illegal. It depends on whether the event can be encountered shiny to begin with. Also you're not even specifying which event nor generation. Not every mystery gift pokemon have the same PID generation method.