The sources here do not address capitalism as an economic system; they address the inner posture of desire for money. Likutei Moharan 23:1 teaches that those who fall into desire for money and do not believe that Hashem can provide livelihood through an easy means become bound to the 'other side,' comparing their pursuit of wealth to idolatry.
Likutei Moharan 68:1 explains that all souls hunger after money, and even after the person who possesses it, because the soul and money both originate from the same supernal source, so that the soul is drawn to recognize that holy root wherever it appears, even corporealized as money.
Several passages within this same discourse develop the theme that breaking the desire for money, rather than renouncing livelihood altogether, is what the sefer calls true emunah and the root of actual sustenance: Likutei Moharan 23:6 contrasts trust in Hashem with being sunk in the desire for money, Likutei Moharan 23:5 identifies breaking that desire with the essence of faith, Likutei Moharan 23:8 ties all earning and sustenance to truth achieved through breaking the desire for money, Likutei Moharan 23:3 and Likutei Moharan 23:4 continue the same discourse's images of sustenance and faith in business dealings, and Likutei Moharan 69:1 warns that stealing money from another person draws from and damages the life-force of that person's offspring.
Sichot HaRan 51:2-4 states that one should not be preoccupied with whether or not one attains wealth, since the world deceives people into thinking they are always gaining when in the end nothing remains, and man and money cannot endure together permanently.
Likutei Moharan 54:2 rules that a person must be content with only what this world necessitates and may not increase involvement in worldly affairs, because there exists a higher holiness and service, namely the holiness of Torah and mitzvot, which worldly accumulation detracts from.
Likutei Moharan 60:4 frames wealth itself as valuable only insofar as it serves contemplation of Hashem's greatness, rather than as an end in itself, and Likutei Moharan, Part II 119:1 observes that even the greatest wealthy people and officers have no real benefit from this world, since their days are full of anger, pain, worry, and sorrow.
Likutei Moharan, Part II 16:1 teaches that all the sustenance of Israel must be received through the King, drawing on the image of the tree in Daniel's vision, and that true kingship and greatness come specifically through humility.
Kad HaKemach, Trust 1:1 cautions that trusting in Hashem for one's provisions does not mean abandoning one's work and dealings entirely, since without sustenance one could not even engage in Torah, citing the teaching that 'if there is no flour, there is no Torah.'
Taken together, these sources speak to the inner attitude toward money, trust, and desire for wealth, not to any structural or economic theory of capitalism, so no claim about Rav Nachman's view of capitalism as such can be drawn from them, though his teachings on Likutei Moharan 23:1 and Likutei Moharan 68:1 bear directly on how a person should relate to the pursuit of money.