What is the meaning of "about" in the context of finishing?

In this context, "about" means that someone is very close to completing a task or reaching a certain point in their actions. The phrase "on the verge of" captures this idea perfectly, indicating that a person is nearly finished with something or is about to achieve or experience an event. This usage implies a sense of immediacy and proximity to completion, which aligns with the concept of finishing.

The other options do not convey this notion of being close to finishing: "just after" suggests completion has already occurred, "in the midst of" implies an ongoing process rather than nearing completion, and "planning to" indicates an intention rather than an indication of current progress or proximity to finishing.