[llvm] [Workflows] Re-write release-binaries workflow (PR #89521)

[Tom Stellard via llvm-commits]

tstellar wrote:

Here is an example of a workflow run using a slightly older version of this patch: 
https://github.com/tstellar/llvm-project/actions/runs/8765505041

https://github.com/llvm/llvm-project/pull/89521