When making a decision, how many "choices" are there?

What's the problem? Choice has two related but different meanings; or in fact, three: the act or event of choosing, the possible options, and the one actually chosen.

I suppose you could possibly come up with a context in which there might be ambiguity between these, but it is unlikely, and we know this because there are these three meanings. If real ambiguity had arisen often, it is likely that the language would have adjusted itself to avoid the ambiguity.

The are plenty of similar examples: a cut is what you do with a knife, but also the result of that action (in a piece of paper, or your finger). Sight is what you do with your eyes, but also in some contexts the thing you see.