Tourettes Syndrome tolerance question

[Johnny2X2X]

I figured this would be a good place to ask for compassionate advice.

I work in an office cube farm as an engineer. There are maybe 100 cubes in my room with about 40 of them full. In the next room over, there was a man with Tourettes, you could hear him sometimes, he coughs and clears his throat non stop all day, like every few seconds he's coughing and choking and clearnig his throat. He was in the other room, so no big deal. Well, a few weeks ago he and his team were moved into our room, he now sits 20 feet away. It's absolutely maddening. 5 hours a day of him making these noises as he doesn't show up until later.

I thought I would get used to it after time, but it's getting woirse. I put my head phones on for part of the day to listen to music to avoid it, but the whole reason for being at the office is to collagerate with others, and if I have head phones on I miss out on the whole reason I am in the office. Furthermore, several of my colleagues just went to full time work from home to avoid the distraction.

And here's the kicker. So we were told they were running out of room when they decided to move this team over by us, but they didn't feel the empty desks and I found out that his team was moved because the people over there were distracted and no longer wanted him there. So they dumped him on us.

I realize he's overcoming a difficult challenge and he's a well respected engineer. Nice enough guy too. And I just wouldn't ever approach him. But am I out of line for complaning to management? It's causing a significant disruption to how productive our team is. Instead of 14 or 15 people to work and collaberate with, I now am coming in 3 days a week to only 4 or 5 people here, even my manager is working fromo home almost exclusively now. I do not want to WFH more than the 2 days a week I already do, I do not work best being home more than that. What considerations am I overlooking? I could complain anonymously.