In his online campaign videos, he admits that he'll ________ the results in order to win, and once in power, he plans to embezzle state funds.

To 'rig' an election means to manipulate or fraudulently arrange results, which directly fits the context of admitting to tampering with election outcomes to win power. The sentence then logically connects this corrupt action to plans for embezzlement. 'Stall' means delay, 'embody' means represent or give form to, and 'mute' means silence - none convey the fraudulent manipulation described.