This is the chapter's most hopeful declaration. The embodied soul that crosses beyond these three gunas — which arise because of its association with the body — becomes free from birth, death, old age, and suffering. It attains amrita, the nectar of immortality.
Being bound by the gunas is not the soul's permanent fate. Krishna is saying that this binding can be undone. The ropes can be cut. And when they are, the soul no longer needs to be born, to grow old, to suffer, or to die. It touches something deathless.
The phrase "deha-samudbhavan" is crucial. The gunas belong to the body and to Prakriti, not to the soul. The soul was always free. It only seemed bound because of its identification with the body. Transcendence is not gaining something new. It is recognizing what was always true.