Port login server to rust (#2294)

Port the login server to rust.

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Co-authored-by: pakrym-oai <pakrym@openai.com>

codex-rs/login/Cargo.toml

@@ -9,11 +9,14 @@ workspace = true
 [dependencies]
 base64 = "0.22"
 chrono = { version = "0.4", features = ["serde"] }
-reqwest = { version = "0.12", features = ["json"] }
+rand = "0.8"
+reqwest = { version = "0.12", features = ["json", "blocking"] }
 serde = { version = "1", features = ["derive"] }
 serde_json = "1"
+sha2 = "0.10"
 tempfile = "3"
 thiserror = "2.0.12"
+tiny_http = "0.12"
 tokio = { version = "1", features = [
     "io-std",
     "macros",
@@ -21,6 +24,9 @@ tokio = { version = "1", features = [
     "rt-multi-thread",
     "signal",
 ] }
+url = "2"
+urlencoding = "2.1"
+webbrowser = "1.0"
 
 [dev-dependencies]
 pretty_assertions = "1.4.1"