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I think you are allowed to say, here look at this thing and btw take this game.
but not, Look at this thing, or else you are not getting this game.

I think that is what it boils down to. But there is a FAQ, which should have your answers.

I think you have to clear it with someone from support beforehand.

Plugging your youtube or greenlight or whatever is typically fine.

When a GA gets deleted for advertising, it's typically because of a referral link, or the GA was actually being hosted on a different site, or the gifter was proposing trade offers in the description or something