Not through your computer. Use a video camera.

For now, you could use a camera, and point it at the monitor with odyssey on it, then save up for a switch capture card later

u need the capture card, cause that way the mod know u arent cheating, plus u cant splice the run

You don't "need" the capture card to record a speedrun, but it is better and more enjoyable for the viewer.

Yah u could even use your phone if u really wanted to