Related nodes in a block view

Hello! I'm in need of some help with Views.

I have a content type called 'Recipes'. Each recipe has one term attached to it from the vocabulary 'Kitchens'. E.g.: the recipes 'Ravioli', 'Maccheroni' and 'Spaghetti' are all categorized as 'Italian kitchen'.

I'd like to display a block called 'More from this Kitchen' next to each recipe. So when you're viewing Ravioli, the block suggests Maccheroni and Spaghetti. For this, I need to have a block view that filters recipes and uses kitchen as a Vocabulary: Term ID argument. Please correct me if I'm wrong.

Here's my problem: I can't get the block to recognize the relevant kitchen for the currently viewed recipe.

I managed to make a 'Related content'-block by following this tutorial, but unfortunately it also uses terms from other vocabularies than kitchens.

I'd be most grateful if someone could tell me if what I'm trying to do is possible with Views.