I do nothing at my my job and it's starting to freak me out

I work at a large company as an entry level swe. I was hired as part of a new grad program, and did a few months of training before starting my role.

I am not currently on a team. I was told they would be announcing new teams in fall but nothing has happened.

I have been told to do trainings, but there is only so much of them I can do. I have been given a simple project, but I completed it in 3 days. I contact people about expanding it but they don't reply to me, they're too busy. My relationships at work are basically nonexistent, because I don't really work with anyone.

I mentioned that I would like to take on more projects but was told to be patient. I am starting to dread going into the office, the days are just so long. Should I keep waiting or should I look for something else? I don't know how I can make this bearable. I still am very lucky to have a job, but this is starting to wear on me.

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