This was also the reply I messaged you, but can put it here for reference for others.
The angle drive should slide out, sometimes takes effort, an open ended wrench, and a hammer to persuade it out. You would need it out to repair with most time-serts. You could try a shallow one, but I cant guarantee it will be enough threads to keep it from spinning.
Below I will link a video that explains the process of using a time-sert. You can buy the kits on Amazon. You will need an 8x1.25mm and would need to measure the depth to get the right part. I dont recall off the top of my head.
When you install it, and the angle drive is out, you will be installing a cylinder into a perpendicular cylindrical bore ( the bore where the angle drive inserts). As such, it will protrude in the center a bit and needs a rat tail file to knock it down. If you can find an insert that is just short enough not to protrude, good on you.
I recommend the larger bore insert as once you pull the helicoil there will be a larger hole than a standard time-sert will seat in. I recommend also using the drill bit and seat facer with a tap handle and and not in a drill. Go slow, correct your angle as you go, and it will turn out fine.
https://www.youtube.com/watch?v=anjDQJtWFc8