Is it permissible to perform acts of obedience with the intention of vexing Satan after falling into sin, or must the intention be solely for Allah?

Whoever falls into sin must sincerely repent, seek forgiveness, feel remorse, and resolve not to return to disobedience. For opposing one's self and desires vexes Satan. And vexing Satan is legally مطلوب (required/desired) and the Muslim is rewarded for it. The Messenger of Allah, peace and blessings be upon him, said: "When the son of Adam recites the verse of prostration and prostrates, Satan withdraws, weeping, saying: 'Woe to me! The son of Adam was commanded to prostrate, and he prostrated, so for him is Paradise. And I was commanded to prostrate, but I disobeyed, so for me is the Fire.'" And Allah the Almighty said: "That is because they are not afflicted by thirst or fatigue or hunger in the way of Allah, nor do they tread any ground that enrages the disbelievers, nor do they gain any triumph over an enemy, except that it is recorded for them as a righteous deed. Indeed, Allah does not allow to be lost the reward of those who do good." And the servant should not lose sight of the intention of worshipping Allah, because whoever’s heart witnesses the meaning of servitude, his reward will be greater.