Isoleucine and valine (as branched-chain aa's) enter the TCA beginning from propionyl-CoA (same as odd-chain FAs); leucine enters as acetyl-CoA.
Propionyl-CoA carboxylase and pyruvate carboxylase both convert 3Cs --> 4Cs.
Acetyl-CoA carboxylase is 2Cs --> 3Cs.