I see that there is some move around this game I wanted to record my speedrun but i don't know where to start. Should i connect my psp to tv and record it by spliting the signal or instaling software that anables the video and audio through mini usb?

Well, you could go
PSP->Component cables->capture card->PC -
>OBS

However, I think most of the runners will agree that using an emulator like PPSSPP is the easiest way to do it, since you can play the game and record the footage on your computer.