Mini rum baba bundts

Baba

• 4 eggs
• 25 g white sugar
• 80 g salted butter, cut into pieces
• 8 g dried instant yeast
• 250 g baker's flour
• oil, for greasing

Rum syrup

• ½ lemon, zest only, no white pith
• 300 g water
• 1 pinch ground cinnamon
• 30 g honey
• 125 g white sugar
• 100 g white rum