Which of the following is an example of running for office?

Becoming a candidate for mayor is a clear example of running for office, as it involves taking active steps to seek election to a public position. This process typically includes campaigning, presenting oneself to the electorate, and actively seeking votes in order to occupy a specific governmental role. Running for office entails a commitment to public service, where an individual not only expresses their intention to lead but also engages with the community to gain support and advocate for their policies or vision.

The other options relate to political engagement but do not specifically involve the act of running for a public office. Joining a political party is more about aligning with a group that shares similar values and policies rather than seeking election. Voting in an election is an important civic duty but is distinct from the process of campaigning or seeking office. Participating in public debates can facilitate discussion about political issues but does not inherently indicate that someone is running for office themselves.