The modern TLS 1.3 handshake is exactly the same as your connection setup. If we ignore the fact that (Because Middleboxes) you have to pretend you're talking TLS 1.2 it goes like this:
Client: "Hi, some.web.site.example please, I want to talk HTTP and I assume you know how AES works and I've randomly picked these numbers to agree the AES key"
Server: "Hi, I do know AES and I've picked these other numbers so now we're good."
Included in the very same packet as that response from the server is the (now AES encrypted) first things the TLS server wants to say e.g. to prove who it is, and agree that it knows HTTP as well.
0RT is a (very dangerous, do not use unless you understand exactly what you're doing) extension for some niche applications where we can safely skip even this roundtrip, also included in TLS 1.3
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The modern TLS 1.3 handshake is exactly the same as your connection setup. If we ignore the fact that (Because Middleboxes) you have to pretend you're talking TLS 1.2 it goes like this:
Client: "Hi, some.web.site.example please, I want to talk HTTP and I assume you know how AES works and I've randomly picked these numbers to agree the AES key"
Server: "Hi, I do know AES and I've picked these other numbers so now we're good."
Included in the very same packet as that response from the server is the (now AES encrypted) first things the TLS server wants to say e.g. to prove who it is, and agree that it knows HTTP as well.
0RT is a (very dangerous, do not use unless you understand exactly what you're doing) extension for some niche applications where we can safely skip even this roundtrip, also included in TLS 1.3