Bhagavad Gita, Chapter 9, Verse 28

Thus shall you be freed from the bondages of actions, bearing good and evil results: with the heart steadfast in the Yoga of renunciation, and liberated, you shall come unto Me.

This real offering is described as having a real, practical effect, freedom from being bound by outcomes either way.

The promise isn't just spiritual comfort, it's a real, specific release from carrying the weight of both good and bad results. That's named directly as the actual mechanism at work.