[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/client_common.rs

@@ -12,14 +12,6 @@ use std::task::Poll;
 use tokio::sync::mpsc;
 use tokio_util::sync::CancellationToken;
 
-/// Review thread system prompt. Edit `core/src/review_prompt.md` to customize.
-pub const REVIEW_PROMPT: &str = include_str!("../review_prompt.md");
-
-// Centralized templates for review-related user messages
-pub const REVIEW_EXIT_SUCCESS_TMPL: &str = include_str!("../templates/review/exit_success.xml");
-pub const REVIEW_EXIT_INTERRUPTED_TMPL: &str =
-    include_str!("../templates/review/exit_interrupted.xml");
-
 /// API request payload for a single model turn
 #[derive(Debug, Clone)]
 pub struct Prompt {