Preheat your oven to 350°F (180°C). Prepare a medium-sized baking pan and line it with parchment paper for easy removal and to prevent sticking.
In a large bowl, combine the Greek yogurt, eggs, baking soda, and salt. Whisk thoroughly until smooth and well combined. This mixture will serve as both the filling and the sauce between the layers.
Crumble the feta cheese coarsely and mix it into the yogurt-egg mixture. You will spread this mixture between the layers. Tip: If the feta is quite salty, you may want to reduce the amount of added salt.
Lay the first sheet of filo pastry in the baking pan, then brush it thinly with olive oil. This helps the layers to become crispy and prevents them from drying out during baking.
Layer the yogurt mixture on top, then cover with another sheet of filo pastry. Repeat this process until all the filo sheets and filling are used. Brush the top layer with olive oil as well.
Using a sharp knife, you can pre-cut the burek into squares. This makes it easier to slice after baking and ensures even baking of all layers.
Place the pan in the preheated oven and bake for 35-40 minutes, or until the top is golden brown and crispy. Towards the end of the baking time, check that the bottom is also cooked through; if not, leave it in for a few more minutes.
Once you remove it from the oven, let it rest for 10 minutes to make it easier to slice. It's best served fresh but is also delicious cold.
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