Currently, authentication and response execution each unwrap ExceptT with separate runExceptT calls, which split the main request flow across nested pattern matching and Either handling. Control flow is complex and difficult to understand.
The goal of this change is to make request execution as sequential
monadic code with clear error handling.
To implement that, request handling is now run in ExceptT over WriterT (Last ByteString) IO monad stack. Auth role is written after authentication succeeds and further returned along the response. Thanks to it response observation generation is centralized at the end of request handling.
It was necessary to abstract monad stack in getAuthResult, lookupJwtCache, postgrestResponse, and withTiming to enable introduction of WriterT.
