Combine sweetened condensed milk, evaporated milk, and half and half in a small saucepan and set over medium heat. Bring to a boil, stirring constantly for 3 to 4 minutes. Remove from heat and let cool. This is a sauce, not a syrup, so consistency will be on the thinner side.

Add cake mix, almond milk, eggs, and 3 tablespoons vegetable oil to a large bowl, and beat vigorously by hand for 2 minutes.

Heat a large skillet or griddle over medium heat, and lightly coat with remaining vegetable oil. Add 1/4 cup of the batter for each pancake. Cook until edges begin to puff up, small bubbles appear, pop, and leave small holes, 2 to 3 minutes. Flip pancakes and cook until golden brown on the other side, about 2 minutes more.