remove temporary ownership re-exports (#16626)

Stacked on #16508.

This removes the temporary `codex-core` / `codex-login` re-export shims
from the ownership split and rewrites callsites to import directly from
`codex-model-provider-info`, `codex-models-manager`, `codex-api`,
`codex-protocol`, `codex-feedback`, and `codex-response-debug-context`.

No behavior change intended; this is the mechanical import cleanup layer
split out from the ownership move.

---------

Co-authored-by: Codex <noreply@openai.com>

codex-rs/lmstudio/Cargo.toml

@@ -11,6 +11,7 @@ path = "src/lib.rs"
 
 [dependencies]
 codex-core = { path = "../core" }
+codex-model-provider-info = { path = "../model-provider-info" }
 reqwest = { version = "0.12", features = ["json", "stream"] }
 serde_json = "1"
 tokio = { version = "1", features = ["rt"] }

codex-rs/lmstudio/src/client.rs

@@ -1,5 +1,5 @@
-use codex_core::LMSTUDIO_OSS_PROVIDER_ID;
 use codex_core::config::Config;
+use codex_model_provider_info::LMSTUDIO_OSS_PROVIDER_ID;
 use std::io;
 use std::path::Path;