My 2013 started doing this on both sides. It began on the left, and cycling the lights on and off would fix it. Then it started happening on the right, and very quickly the right wouldn't stay lit at all. When you turn them on it would flash for a second and then go out. So it became pretty urgent to fix them, and I replaced both sides.
I had a really hard time finding a reliable source for authentic bulbs. Tons of comments on Amazon about receiving counterfeit units. I knew I didn't want to get back in there in a couple months because I installed some knock-offs that failed prematurely.
I decided on the Osrams, and specifically got the Nightbreaker Lasers. They have an online verification tool that matches your bulb package to the bulb's serial number so you know you got the real thing. The color temp is a touch warmer than stock, but the visibility is vastly improved. Also, notably, replacing the bulbs (at least for now) fixed the issue noted in this thread.
I got mine here:
D3S: Osram 66340XNN Night Breaker Laser NEXT GEN HID Bulbs | Pack of 2
@David99 's video earlier in this thread helped a lot, but I have one addition.
This is what the bulb in the housing looks like. You have to remove that black housing and put it on the new bulb. This is mentioned in the video, but the process is not described. You need to push the ring off the light through that split in the ring. It works like an e-clip or c-clip (look it up). It
doesn't pull straight up towards the bulb.
Finally, it wa interesting to compare the bulbs. The one on the right had failed, and the one on the left is new. (Not shown) the one in the process of failing looked more like the one on the left.