Assume it takes $1$ time unit to perform any exponentiation $($Diffie$-$Hellman, RSA encryption, RSA decryption, RSA signing, and RSA verification$),$ and negligible time to compute hashes and to communicate. What is the latency $($in time units$)$ to complete the following three$-$message exchange, from the time the human at the client machine $$Alice$$ says she wants to connect to Bob, assuming no optimizations?

Alice to Bob: "Alice", ga mod p$,[$h$("$Alice$"|$ ga mod p$)]$Alice

Bob to Alice $($after computing K $=$ gab mod p$)$: "Bob", gb mod p$,["$Bob$"|$ gb mod p$]$Bob$,$ h$("$Bob$"|$ K$)$

Alice to Bob $($after computing K $=$ gab mod p$)$: h$("$Alice$"|$ K$)$