Preheat your oven to 350°F (175°C). Line a large baking sheet with parchment paper.
In a medium bowl, whisk together the all-purpose flour, baking powder, and salt.
In a large mixing bowl, thoroughly whisk the eggs, granulated sugar, melted butter, and vanilla bean paste until the mixture is smooth and pale.
Gradually stir the dry flour mixture into the wet ingredients using a sturdy spatula until a slightly sticky dough is formed.
Turn the dough onto a lightly floured surface. Divide it in half and shape each portion into a log about 9 inches long and 2.5 inches wide. Place the logs on the prepared baking sheet, leaving room for them to spread.
Bake for 25 minutes, or until the logs are firm and lightly golden. Remove from the oven and let them cool on the pan for 10 to 15 minutes. Lower the oven temperature to 325°F (165°C).
Transfer the logs to a cutting board. With a sharp serrated knife, cut them on a slight diagonal into 3/4-inch slices. Place the slices cut-side down back on the baking sheet.
Bake for 8-10 minutes, flip each slice over, and bake for another 8-10 minutes until they are deeply crunchy and dry. Transfer to a wire rack and let them cool completely. (Do not dip warm biscotti!)
Once the biscotti are entirely cool, melt the chocolate chips and coconut oil in a microwave-safe bowl in 30-second increments, stirring in between until perfectly smooth.
Dip one half of each cooled biscotti into the melted chocolate. Let the excess drip off, then place them onto a piece of wax or parchment paper. Allow the chocolate to set completely at room temperature (or pop them in the fridge for 10 minutes to speed it up) before serving!