The "Pencil Pro 3" from 4smarts is not an official Apple product, and information on its compatibility is not provided by Apple.

However, to determine the compatibility of a Pencil with an iPad Air 2 (model A1567), here are some general points:

- The iPad Air 2 (model A1567) is an older model and is generally only compatible with specific pens that do not require the advanced features of newer Apple Pencil models.
- Pens compatible with the iPad Air 2 are often third-party models or older versions of Apple Pencil, such as the Apple Pencil (1st generation) or third-party branded pens such as Adonit or Pencil by FiftyThree, but these may have limitations in terms of functionality and compatibility with certain applications.

Without specific information on the 4smarts "Pencil Pro 3", it is difficult to confirm its compatibility with the iPad Air 2. It is recommended that you consult the manufacturer's documentation or contact 4smarts customer support to obtain precise information on the compatibility of this product.