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It's unlikely you'll see the mini-moon. NASA says the absolute magnitude of 2024 PT5 is 27.593. That means it's quite dim and won't be visible even if you have a telescope. For reference, the dimmest magnitude that is visible to the naked eye at night is around 6.5 and a 12-inch telescope can see objects with a magnitude of around 16 or 17. That means amateur astronomers are going to have to sit this one out, since you'd need a much larger telescope to see 2024 PT5.
Mini-moons aren't particularly rare. They occur almost every year. Earth had a mini-moon in 2022 thanks to the peculiar flight path of the 2022 YG asteroid. Another one arrived in 2020 courtesy of the 2020 CD3 asteroid. Some of them are even bright enough to see with amateur astronomy instruments.
Many asteroids come back over and over again for repeat visits as well. The 2022 NX1 asteroid became a mini-moon in 1981 and 2022. It's scheduled to make its return in 2051. One of the best examples is 2006 RH120, which orbited Earth for a whole year between July 2006 and July 2007. The phenomenon is so consistent that some researchers say that Earth always has a mini-moon lurking around somewhere.
Source: cnet.com