Can I run Ornith-1.5-35B-A3B on an RTX 5060 Ti 16 GB?
No
Even its smallest file (4-bit (estimate), 20.2 GB) is more than an RTX 5060 Ti 16 GB can hold (14.4 GB usable): it needs 2 of them.
Files and context on RTX 5060 Ti 16 GB
Each file of Ornith-1.5-35B-A3B (and of GGUF versions the site has analyzed), and how much context fits next to it, with the context cache in 16-bit or 8-bit.