Hi,
I watched the video again. I believe that vehicle is a hybrid. I have a feeling the problem you experience is resulting from a starter issue. The added amperage when jump-starting gets it to work.
When it doesn't work (clicks), I need you to check for power to the starter (S) terminal. It will be the smaller of the two wires and purple in color.
That wire should see 12v (battery voltage) when the key is in the start position only. If you find that it has 12v, but the starter just clicks, I suspect it is the starter.
Here is a link that explains how to perform the test:
https://www.2carpros.com/articles/starter-not-working-repair
Let me know what you find. Also, I attached the wiring schematic of the starting system for you to reference. I hope it helps.
Take care,
Joe
See pic below.
Image (Click to make bigger)
Thursday, November 18th, 2021 AT 8:49 PM