Mudd's Women (s1e06)

 

Space Seed (s1e22)

 

A Taste of Armageddon (s1e23)

 

This Side of Paradise (s1e24)

 

The City on the Edge of Forever (s1e28)

 

Operation Annihilate (s1e29)

 

Catspaw (s2e07)

 

Upon completion of its service as a "hero" Captain Kirk tunic, the 2nd and 3rd rows of braid were removed from this costume (effectively redressing the garment to the rank of Lieutenant) where it likely experienced additional usage on screen during the 2nd and 3rd seasons of TOS on background characters.

It could be in the episodes below the closer I found :

- s3e18 : The Lights of Zetar

- s3e20 : The Way to Eden