How long does a dream typically last near the end of the sleep cycle, just before waking?

It honestly depends. For some people it can be just seconds before while for others it can be a full 20 or even 30+ minutes. Most people remember the dream as well.

At times, dreams may occur during other stages of sleep. However, these dreams tend to be much less vivid or memorable. The length of a dream can vary; they may last for a few seconds, or approximately 20–30 minutes. People are more likely to remember the dream if they are awakened during the REM phase.

I’m pretty sure the answer is true