Everybody looks like they already have friends. They do not.
What you are seeing in week two is proximity, and proximity is not the same thing as belonging.
Stand in any courtyard in the second week and you will see clusters: people talking easily, laughing at something, apparently sealed. It is the single most demoralising sight of early student life, and it is largely an illusion of angle. Those clusters are usually days old. They formed because two people were early to the same room, or live on the same floor, or stood next to each other in a queue and it was less awkward to keep talking than to stop. None of them have shared history. Most of them are also privately wondering whether they have found their people or merely found some people.
That reframing matters because it changes what you do. If groups are sealed, the rational move is to wait for an invitation, and waiting is fatal, because the window in which everyone is openly assembling closes quietly around the end of the first term. If groups are three weeks old and porous, the rational move is to join badly: sit down, say the boring line about the weather or the room or the reading, and repeat. Friendship at this stage is not made of chemistry, it is made of repetition. The same face in the same place four times becomes a person you know.
It also helps to lower the bar for what counts as a win. You are not looking for a best friend by Friday. You are looking for six or seven people whose names you know and who know yours, because that is the raw material everything later gets made from. Some will stay acquaintances forever and that is fine. If you have moved a long way for study, add one more piece of advice: mix the people you meet. Others from your home place will make you feel instantly comfortable, which is genuinely valuable, and a life built only from that comfort tends to get small by about the second term.