Puh this was a tough one, hope it works…
Amazon Fire HD 8 and HD 10 for /e/OS-T-1.16
e-1.16.1-t-20231031-UNOFFICIAL-karnak.zip
https://www.androidfilehost.com/?fid=16385555061192790832
Please see sources and install instructions including recovery here:
https://xdaforums.com/t/rom-unlocked-karnak-lineage-20-0-3-january-2023.4533639/
Use it at you own risk!
Please support the developer(s)!