This isn't the kind of question you can answer with experience, unless you are a dataminer or something. Questions you can answer with experience are like "Where is x in Pokemon Sword?" or "How can I do x in Pokemon Ultra Moon?"
I'm talking about specific Tera Raid Pokemon that have different Tera types that could be shiny, or have a certain egg move. For example, a Level 30 Shiny Sliggoo with a specific Tera Type. Goomy doesn't evolve into Sliggoo until Level 40, so this would be extremely rare.
If you turn the camera around to the back of sinistea, and then down so you can see "into" the cup from the bottom, you can see the stamp if it's there. Sinistea won't run into you, so it's harmless to take your time