This is the 6248th most frequent Russian word.
угодно
"угодно" means "as desired" or "pleasing."
Here, 'угодно' is used to express choice or preference, meaning 'as you prefer' or 'any, that you like'.
Вы можете взять любой предмет, который угодно.
You can take any item that you like.
In this context, 'угодно' conveys flexibility or convenience, equivalent to 'at your convenience' or 'when it suits you'.
Заходите в любое время, когда вам угодно.
Come by anytime that is convenient for you.
'Угодно' here reflects compliance or servitude, expressing 'wherever it is desired' by the authority.