Currently obtaining a boot image for the Note Air 3 is not a straightforward matter. There is no update.upx file from which you can extract the boot image, and the Qualcomm sdm662 edl loader would not work for me.
Edited March 28, 2024: There is now an update file containing boot.img. The URL for the file is in this post. https://www.mobileread.com/forums/sh...12&postcount=3
Fortunately, Renate provided a loader (lenovo_motorola/001b80e102e80000_8b2d1c830d9d8576_fhprg_moto_g52.b in) in post 10 of this thread that worked.
https://www.mobileread.com/forums/sh...d.php?t=357326
There are many threads in this forum with excellent, detailed instructions for rooting, so I will not provide detailed instructions here. These are the two threads I used:
https://www.mobileread.com/forums/sh...d.php?t=349397 Linux users see post 33 in this thread.
https://www.mobileread.com/forums/sh...d.php?t=357269
Thanks to Renate for all the help she provided with the edl loader issue, and thanks to the creators of those threads.