Taylor Swift Gets Emotional Recalling Moment She Got Master Recordings

EMOTIONAL RETELLINGTaylor Swift says she broke down in tears when she told boyfriend Travis Kelce she had gotten the rights to her entire music vault ... and she got emotional recalling the moment she knew the deal was sealed.

Taylor was on the verge of tears on the "New Heights" podcast as she took Travis and his brother Jason Kelce through the process of buying her master recordings.

BACK IN HER HANDSShe said she had intrusive thoughts every day about not owning her masters ... and revealed she was overcome with emotions this past May when she bought them from Shamrock Capital.

Taylor said she sent her mom and her brother to L.A. to negotiate on her behalf ... explaining she took an…