Group by the all the columns except the first one, but aggregate as list the first column

Let’s say, I have this dataframe:

df = pd.DataFrame({'col_1': ['yes','no'], 'test_1':['a','b'], 'test_2':['a','b']})

What I want, is to group by all the columns except the first one and aggregate the results where the group by is the same.

This is what I’m trying:

col_names = df.columns.to_list()

df_out = df.groupby([col_names[1:]])[col_names[0]].agg(list)

This is my end data frame goal:

df = pd.DataFrame({'col_1': [['yes','no']], 'test_1':['a'], 'test_2':['b']})

And, if I have more rows, I want it to behave with the same principle, join in list the groups that are the same based on the column [1:] (from the second till end.