Word2Vec and static embeddings

I'm looking into Word2Vec and I don't quite understand why the embeddings don't account for the context. In other words, why would the embedding of _bank_ be the same irrespective of whether we're talking about a financial institution or a river bank?

What puzzles me is the fact that both the skip-gram and cbow approach look at the context of the target word. Why does this not allow to include context information into each embedding?

languagetechnology word2vec