In the complex \( \text{[Mg(Co)}_{10}\text{]} \), magnesium (Mg) is typically acting as the central metal ion, and the carbonyl ligands (\( \text{CO} \)) form bonds with the magnesium. In such organometallic complexes, bridging occurs when two or more ligands bind to the central metal atom at the same time, forming a "bridge" between two or more metal atoms.
For this specific case, the structure and bonding would likely involve three bridging complexes, as each \( \text{CO} \) ligand is likely bridging between two magnesium atoms in the complex.
Thus, the answer is \( 3 \).