Tea Cake

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Unsalted butter, at room temperature, for the teacups

1/2 cup milk  

1 bag black tea, such as chai or Earl Grey 

1/2 cup granulated sugar 

1/4 cup vegetable oil 

1 large egg 

1 teaspoon lemon juice  

1/2 teaspoon pure vanilla extract 

1/2 cup all-purpose flour  

1/8 teaspoon baking soda 

Pinch fine salt 

Whipped cream, for serving 

Ground cinnamon, for serving