Ok, then I'd double check your belt and if it's not loose, then focus on the bottom end of your engine. And I wouldn't run it again until you figure out for sure what it is. That sound is, at best, potentially catastrophic.
If it's not the t-belt, then this is why I think one of your rod bearings has let go:
You're idling at 1200 RPM, which means that each piston is making 200 complete down/up cycles per minute (1200rpm / 6 pistons = 200 rpm/piston). Your crankshaft is going to hit the inner race of your rod bearings each time the piston changes directions, which will be twice per piston cycle (once on the connecting rod side going up, once on the rod cap side coming down). Therefore, if one of your rod bearings is shot, you'd expect to hear a total of about 200 pairs of clicks per minute.
In your second video, I heard about 37 pairs of clicks over a 10 second period. There are 60 seconds in a minute, or six 10-second periods, so we multiply 37 * 6 and get 222 pairs of clicks per minute. Scarily close to the 200 we'd expect above. I'd wager you're idling a little closer to 1300 RPM based on the 10 second period I listened to.
All of this to say, it seems and sounds like you have bottom end problems, most likely with a rod bearing... that is, if it's not the belt.
The timing belt is easy to check, but the bearings are not. My suggestion would be to order an oil analysis kit from Blackstone Labs and send a sample of your oil in. If there's bearing failure, the proof will be in your oil and they will find it. And you won't have to drop you oil pan just to find out. In the meantime, don't start or drive that car.
Good luck.