Prince of Asturias on visit to improve relations

The video tutorial consists of a brief statement, 'I will not.'

What does the statement 'I will not.' imply about the speaker's intentions?

In what contexts might someone say 'I will not.'?

How can the phrase 'I will not.' be interpreted in terms of refusal?

What emotions might be associated with saying 'I will not.'?

Can 'I will not.' be seen as a definitive statement? Why or why not?