Daily actions can become a path to untying the bonds of birth.

If you continue your actions with equanimity, where will it lead? Krishna says that a wise person who possesses equanimity renounces the fruits of action and is liberated from the bonds of birth.

Discarding the fruit means that the result itself does not occur. It is about not seeking the result as one's own possession and not attaching oneself to that result. By doing so, the bonds that lead to future rebirths are loosened, leading towards a state of perfect bliss free from suffering. In Karma Yoga, daily actions become steps directly toward liberation.

Japanese Translation from the Geeta Press Edition - Chapter 2, Section 51: "Liberation from the Bondage of Birth"

Sanskrit original text

कर्मजं बुद्धियुक्ता हि फलं त्यक्त्वा मनीषिणः ।
जन्मबन्धविनिर्मुक्ताः पदं गच्छन्त्यनामयम् ॥ ५१ ॥

Romanization

karma-jaṃ buddhi-yuktā hi phalaṃ tyaktvā manīṣiṇaḥ |
janma-bandha-vinirmuktāḥ padaṃ gacchanty anāmayam || 51 ||

Wise individuals who possess equanimity abandon the fruits of their actions, are liberated from the bonds of birth, and attain the highest state of blissful well-being free from suffering. (51)

This section, "Hi," provides the reason.

This section explains the reason why skillful action in this context refers to acting with equanimity.

"Buddhiyuktāḥ" refers to those who already possess the aforementioned equanimity and are firmly established karma yogis in that equanimity.

"Manīṣiṇaḥ" means truly wise and learned individuals who have reached the purpose of human existence through being established in equanimity.

A person who is born into this world and continues to be immersed in worldly pleasures until the end of their life is, in reality, not a wise person. When equanimity in yoga stabilizes, the connection between the present life and the fruits of actions performed in countless past lives disappears, and one is liberated from the bonds of birth. Attachment to worldly objects is the cause of rebirth. A yogi who has established equanimity is completely free from this attachment, therefore they do not reincarnate again.

Anāmayam Padam refers to the highest abode of God, completely free from suffering.

It is a state beyond likes and dislikes, good and bad actions, joys and sorrows, and all forms of evil; it transcends Prakriti and its evolutes entirely, and is identical with God.

The attainment of the highest abode of God, the realization of Brahman which is formless and attributeless, the manifestation of God as truth, knowledge, and bliss with countless attributes, the reaching of the ultimate state, and the acquisition of immortality – all these are different perspectives describing the same God and the same spiritual experience.