Enable remote compaction for Amazon Bedrock (#36981)

## What changed

- Add provider-owned remote compaction capabilities for unsupported, v1, and v2 protocols.
- Mark Amazon Bedrock as v1-only so manual and automatic compaction use `/v1/responses/compact`, even when the v2 feature is enabled.
- Preserve v2 support for OpenAI and Azure Responses providers and local compaction for unsupported providers.

## Testing

- Cover Amazon Bedrock manual and automatic remote compaction, including endpoint selection, authentication headers, model selection, and reuse of the compacted summary.

GitOrigin-RevId: d58093178605d1f8155b93d9a161408177f6ac72

codex-rs/core/src/compact_tests.rs

@@ -1,6 +1,4 @@
 use super::*;
-use codex_model_provider_info::ModelProviderInfo;
-use codex_model_provider_info::WireApi;
 use codex_protocol::ResponseItemId;
 use codex_protocol::models::DEFAULT_IMAGE_DETAIL;
 use codex_protocol::models::InternalChatMessageMetadataPassthrough;
@@ -266,31 +264,6 @@ fn build_compacted_history_preserves_user_message_passthrough_metadata() {
     assert_eq!(history[1].turn_id(), None);
 }
 
-#[test]
-fn should_use_remote_compact_task_for_azure_provider() {
-    let provider = ModelProviderInfo {
-        name: "Azure".into(),
-        base_url: Some("https://example.com/openai".into()),
-        env_key: Some("AZURE_OPENAI_API_KEY".into()),
-        env_key_instructions: None,
-        experimental_bearer_token: None,
-        auth: None,
-        aws: None,
-        wire_api: WireApi::Responses,
-        query_params: None,
-        http_headers: None,
-        env_http_headers: None,
-        request_max_retries: None,
-        stream_max_retries: None,
-        stream_idle_timeout_ms: None,
-        websocket_connect_timeout_ms: None,
-        requires_openai_auth: false,
-        supports_websockets: false,
-        supports_standalone_web_search: false,
-    };
-
-    assert!(should_use_remote_compact_task(&provider));
-}
 #[tokio::test]
 async fn process_compacted_history_replaces_developer_messages() {
     let compacted_history = vec![