All action(Karma) based on the false self(ego or waking entity) within the false experience(waking) will not the means to acquire non dual wisdom or Brahma Gnana or Atma Gnana.

 Karma means action. Action implies duality.  duality is mere illusion from ultimate standpoint. thus conduct based moksha is mere imagined theory based in the false self(ego or waking entity)  within the false experience(waking) . Therefore,  all action(Karma)  based on the false self(ego or waking entity)  within the false experience(waking)  will not the means to acquire non dual wisdom or Brahma Gnana or Atma Gnana.

The theory of fate (Prarabdha) is for the ignorant one because those who accept the waking entity as self and waking world as reality will remain in believing in the theory of birth, death and rebirth.  

 The waking entity and the waking world are reality within the waking experience. The waking experience itself is illusion from ultimate standpoint.  

The body being in this universe , does not also exist and due to this, Prarabdha also does not exist, Though the Vedas speak of Prarabdha, For the understanding of the ignorant.

The Mundaka Upanishad tells that:-

Ksheeyanthe thasya karmani thasmin drushte cha paravare, Bahuthwam than nishedartha sruthya geetham cha yath sphutam. 98

The body being in this world does not also exist and due to this, Prarabdha also does not exist, though the Vedas speak of Prarabdha, for the understanding of the ignorant.

All actions of man including Prarabdha, Perishes when one is able to see, Brahman which is in the higher and also lower, Thus tell the Vedas with clarity, *Cause and effect If fate does not get destroyed, ignorance gets never destroyed and spiritual realization never comes.

Uchyathe agnai balath chaithaththadaanatha thad vayagama, Vedantha matha hanam cha yadho jnanam ithi sruthi. 99

If the ignorant adamantly refuse to know this, Not only will they get involved in two absurdities*, But also forsake the conclusions of Vedantha, Which proceed from Veda, the true knowledge. *negation of Brahman and its realization. 

Sri,  Sankara says in Aparokshanubhuti:-

    88. When the whole universe, movable and immovable, is known to be Atman, and thus the existence of everything else is negated, where is then any room to say that the body is Atman?

  89. O enlightened one; pass your time always contemplating on Atman while you are experiencing all the results of Prarabdha; for it ill becomes you to feel distressed.

90. The theory one hears of from the scripture, that Prarabdha does not lose its hold upon one even after the origination of the knowledge of Atman, is now being refuted.

91. After the origination of the knowledge of Reality, Prarabdha verily ceases to exist, inasmuch as the body and the like become non-existent; just as a dream does not exist on waking.

92. That Karma which is done in a previous life is known as Prarabdha (which produces the present life). But such Karma cannot take the place of Prarabdha (for a man of knowledge), as he has no other birth (being free from ego).

93. Just as the body in a dream is superimposed (and therefore illusory), so is also this body. How could there be any birth of the superimposed (body), and in the absence of birth (of the body) where is the room for that (i.e., Prarabdha) at all?

94. The Vedanta texts declare ignorance to be verily the material (cause) of the phenomenal world just as earth is of a jar. That (ignorance) being destroyed, where can the universe subsist?

 95. Just as a person out of confusion perceives only the snake leaving aside the rope, so does an ignorant person see only the phenomenal world without knowing the reality?

    96. The real nature of the rope being known, the appearance of the snake no longer persists; so the substratum being known, the phenomenal world disappears completely.

     97. The body also being within the phenomenal world (and therefore unreal), how could Prarabdha exist? It is, therefore, for the understanding of the ignorant alone that the Shruti speaks of Prarabdha.

     98. “And all the actions of a man perish when he realizes that (Atman) which is both the higher and the lower”. Here the clear use of the plural by the Shruti is to negate Prarabdha as well.

   99. If the ignorant still arbitrarily maintain this, they will not only involve themselves into two absurdities but will also run the risk of forgoing the Vedantic conclusion. So one should accept those Shrutis alone from which proceeds true knowledge.

The above proves that the karma is reality only on the base of false self, where one thinks body and the universe as reality. When one becomes aware of the fact that, the true self is formless soul, then the karma becomes part and parcel of illusion.   My point is that, if one accepts the karma theory as reality, he will never be able to come out of the ignorance. And ignorance makes him believe the cycle of birth, life and death or pain and pleasure as reality.  Thus the freedom which one is seeking will remain distant dream. For the one who accepts the birth life and death as reality, Self-knowledge is impossible.

Thus it is necessary for the seeker of truth to know the fact that, the body which is born, lives and dies is not the self. Since he is taking the body to be the self, he is experiencing the duality as reality. 

 As Sri, Sankara says:  When the whole universe, movable and immovable, is known to be Atman, and thus the existence of everything else is negated, where is then any room to say that the body is Atman.

 If body is not the Atman/self, then the karma theory has no meaning on the standpoint of the truth. Thus no second thing exists other than Atman, therefore why to view the worldview on the standpoint of the body as self [I] when the body [I] is the false self, and the soul/Atman is the true self.