> I learned in school (English is my 2nd language) that you can never use "their" or "they" about something inanimate like a corporation (or a chair, for example).
Definitely not a chair, but a corporation is also "just" a group of people. "Their" makes perfect sense for a corp, even if it isn't perfectly accurate
So, again, are we aiming for high correctness or high comprehension? "Company" makes sense because you can have a "company of five participants" and they can do something, e.g., select a wine pairing menu at a restaurant, but a corporation is typically "a thing".
Everyone who understands English at a professional level (and probably even lower levels, too - or perhaps especially those) will understand what you mean if you say "the corporation announced their financial report last weekend", but it won't be the correct use of "their", as far as I'm aware.
Similarly you can't, as far as I understand, append an "s" to describe a relationship of an inanimate thing, e.g., this would be incorrect: "the corporations employees went to the summer party" again because "corporation" is a thing. But on the flipside phrases like "the employees of the corporation went to..." sound a bit too - what's the word - posh?