Bhagavad Gīta Bhāshya and Tātparya
B.G 5.13
सर्वकर्माणि मनसा संन्यस्याऽस्ते सुखं वशी। नवद्वारे पुरे देही नैव कुर्वन्न कारयन् ॥१३॥
sarvakarmāṇi manasā saṁnyasyā'ste sukhaṁ vaśī। navadvāre pure dehī naiva kurvanna kārayan ॥13॥
Having renounced all actions through the mind, the self-controlled resides happily in the city of nine gates as the embodied, neither thinking he performs nor attributing cause to himself.
Gīta Bhāshya 5.13
The word 'manasā' indicates renunciation is to achieved in the mind by renouncing the ego. Not by ceasing to act.
Again, the word 'saṁnyāsa', i.e. renunciation, is further clarified by the verse 'sarvakarmāṇī', i.e. 'all actions'. 'manasā', through the mind , is the adjective (for all the work performed), indicating the renunciation of ego (in the mind).
Gīta Tātparya 5.13
'brahmaṇyādhānam' (5.10) - the attitude that all actions are a form of His worship, and are performed by Him for my well being. The individual being is non-doer because of the absence of 'I am independent' attitude.
The word 'brahmaṇyādhānam' (Fita 5.10) indicates the attitude that all actions are a form of His worship, and are performed by Him for my well being. Because of the absence of 'I am independent' attitude, the individual being is non-doer.
Just as the father performs self-worship in the hands of a child, for the child's wellbeing, similar is the worship performed by the individual soul, dependent on lord Vishnu.
-stated thus in Pravrtti testimonial.
Therefore, renunciation of actions is possible by the mind alone, because of the lack of independence.

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बहुचित्रजगद्बहुधाकरणात् परशक्तिरनन्तगुणः परमः ।
सुखरूपममुष्य पदं परमं स्मरतस्तु भविष्यति तत्सततम् ॥
"The one who has created this variegated vast universe with varied forms has infinite power and is of infinite auspicious qualities. He certainly bestows the highest state of bliss to those who meditate on his ever happy essence." -Dwādasha stōtra 4.3

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