Biotin is required for the activity of
Mitochondrial pyruvate carboxylase catalyzes the carboxylation of pyruvate to oxaloacetate, an ATP-  requiring reaction in which the vitamin biotin is the coenzyme.
Biotin binds CO2 from bicarbonate as carboxybiotin prior to the addition of the CO2 to pyruvate.
The resultant oxaloacetate is reduced to malate, exported from the mitochondrion into the cytosol  and there oxidized back to oxaloacetate.

Key Concept:
Biotin is the co-enzyme for pyruvate carboxylase which carboxylates pyruvate into oxaloacetate
Ref : Harper’s illustrated biochemistry, 31st edition.
Pyruvate carboxylase
Lactate dehydrogenase
Succinate thiokinase
Phosphohexose isomerase