I could only find a through-hole technology (THT) resistor, so I tested it using that. However, the voltage remains high at the output, and the resistor that I replaced is getting warm. Therefore, I'm assuming that something else is also faulty, which likely caused the original 1k resistor to burn out.
My power supply is not identical to yours. Upon examining the images, I noticed that there are additional components on your board that are not present on mine, and vice versa. My stock four capacitors are rated for 63V and has a capacitance of 2200uF.