Gluten-Free Framboisier Cake

Name: Gluten-Free Framboisier Cake
Prep time: 2 h
Cook time: 1 h 30 min
Total time: 3 h 30 min
Cuisine: French
Ingredients: 250 g raspberry purée; 3 g fruit pectin; 40 g sugar; 500 g barista-style oat milk (gluten-free); 3 g psyllium husk; 80 g vegan butter (melted, preferably Miyoko's); 2 pinches salt; 300 g gluten-free flour blend; 8 g baking powder; 4 g baking soda; 150 g sugar; 100 ml water; 30 g sugar; 1/2 vanilla bean (or 1 tbsp vanilla extract); 100 g egg yolks; 60 g cornstarch; 1 vanilla bean (or 1/2 tsp vanilla powder or 1 tbsp vanilla extract); 200 g vegan butter (softened, preferably Miyoko's)