Hello, Amd community Amd radeon hd 5770 has latest driver of year 2015 why you don't release a driver software latest version 2022 for hd 5770
Here is a link to view that can probably best answer your question: https://www.techpowerup.com/gpu-specs/radeon-hd-5770.c250
All HD XXXX are considered to be Legacy or Non-supported by AMD anymore with Driver Updates.
So whatever drivers shows up at AMD Download page under Legacy that would have been the latest driver available.
also you need to be aware that the HD 5000 series GPU cards don't have the technology to run the newer AMD Drivers.
Here are all the AMD GPUs that AMD lists as not being supported anymore with Driver updates: https://www.amd.com/en/support/kb/faq/gpu-630