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1
Lightly grease a large bowl with the vegetable oil and set aside.
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2
Combine the warm milk and the yeast in a large bowl and stir to combine.
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3
Let sit until foamy, about 5 minutes.
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4
Add 1/4 cup of the flour and stir to combine.
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5
Cover with plastic wrap and let rise in a warm, draft-free place until doubled in size, about 1 hour.
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6
Using an electric mixer fitted with a dough hook, beat the eggs, 1 at a time, into the yeast mixture.
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7
Slowly add the remaining 1 cup of flour, the sugar, and salt, and beat until well incorporated, about 5 minutes.
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8
Add the butter 2 tablespoons at a time, beating well between additions.
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9
Blend until sticky dough forms.
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10
Place in the oiled bowl, lightly turning to coat.
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11
Cover with a kitchen cloth and let rise in a warm, draft-free place until doubled in size, about 1 hour.
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12
Preheat oven to 375 degrees F.
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13
Turn out the brioche dough onto a lightly floured surface and punch down.
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14
Roll out the dough to a circle about 14-inches in diameter.
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15
Fit dough into a 9-inch pie pan, leaving about 1/2-inch overhang for shrinkage.
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16
Line with parchment paper and fill with pie weights.
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17
Bake until set, about 15 minutes.
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18
Remove from the oven.
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19
Remove the parchment and beans, return to the oven and bake until lightly colored, about 5 minutes.
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20
Remove from the oven and cool on a wire rack.
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21
For the Filling:
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22
In a medium bowl, combine the dark rum and honey, and stir.
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23
Add the figs and marinate for 30 minutes.
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24
Drain and discard the liquid.
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25
Reduce the oven temperature to 350 degrees F.
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26
Combine the ricotta and cream cheese until smooth in an electric mixer.
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27
Add the whole eggs and egg yolk, 1 at a time.
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28
Add sugar, lemon juice, zest, vanilla, and cardamom and mix until combined.
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29
Drain the figs and fold into ricotta mixture.
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30
Pour mixture into prepared shell.
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31
Do not overfill the shell, as it will rise slightly when baking.
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32
Bake until the filling is firm to the touch, about 1 hour.
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33
Cool before serving.
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34
Garnish with powdered sugar and mint.
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35
Refrigerate any leftovers.
