[codex] Consolidate shared prompts in codex-prompts (#25151)

## Why

`codex_core` is consistently a bottleneck for incremental builds during
iteration. The simplest fix is to make the crate smaller.

## Summary

`codex-core` owns several reusable prompt renderers and static prompt
assets, which makes the crate harder to split apart.

Rename `codex-review-prompts` to `codex-prompts` and move shared review,
goal, permissions, compaction, realtime, hierarchical AGENTS.md, and
`apply_patch` prompts into it. Move prompt-only tests and update
consumers and `CODEOWNERS`.

## Validation

- `just test -p codex-prompts -p codex-apply-patch`
- `just test -p codex-core prompt_caching`
- Bazel builds for the affected crates

codex-rs/core/src/lib.rs

@@ -104,7 +104,7 @@ pub use client::X_RESPONSESAPI_INCLUDE_TIMING_METRICS_HEADER;
 pub use codex_protocol::config_types::ModelProviderAuthInfo;
 mod event_mapping;
 pub mod review_format;
-pub mod review_prompts;
+pub use codex_prompts as review_prompts;
 mod thread_manager;
 pub(crate) mod web_search;
 pub(crate) mod windows_sandbox_read_grants;
@@ -180,9 +180,9 @@ pub use client::ModelClientSession;
 pub use client::X_CODEX_INSTALLATION_ID_HEADER;
 pub use client::X_CODEX_TURN_METADATA_HEADER;
 pub use client_common::Prompt;
-pub use client_common::REVIEW_PROMPT;
 pub use client_common::ResponseEvent;
 pub use client_common::ResponseStream;
+pub use codex_prompts::REVIEW_PROMPT;
 pub use compact::content_items_to_text;
 pub use event_mapping::parse_turn_item;
 pub use exec_policy::ExecPolicyError;