## Why
The standalone `image_gen.imagegen` extension should behave like native
image generation for artifact persistence and UI completion, while
returning its save-location guidance as part of the tool result instead
of injecting a developer message.
## What Changed
- Added an image-generation completion hook for extension tools so core
can persist generated images and emit the existing `ImageGeneration`
lifecycle events.
- Reused core image artifact persistence for extension output and
removed extension-local save-path/file-writing logic.
- Split shared image persistence from built-in finalization so native
image generation keeps its existing developer-message instruction
behavior.
- Returned the generated image save-location instruction through the
extension `FunctionCallOutput`, alongside the generated image input for
model follow-up.
- Preserved the existing image-generation event shape for current UI and
replay compatibility.
- Avoided cloning the full generated-image base64 payload when emitting
the in-progress image item.
- Removed dependencies no longer needed after moving persistence out of
the extension crate.
## Fast Follow
- Adjust the existing Extension API and add a general `TurnItem`
finalization path for re-usability of code
## Validation
- Ran `just fmt`.
- Ran `just bazel-lock-update`.
- Ran `just bazel-lock-check`.
- Ran `just test -p codex-tools -p codex-extension-api -p
codex-image-generation-extension`.
- Ran `just test -p codex-core
image_generation_publication_is_finalized_by_core`.
- Ran `just test -p codex-core
handle_output_item_done_records_image_save_history_message`.
- Ran `just fix -p codex-tools -p codex-extension-api -p codex-core -p
codex-image-generation-extension`.
Won ParkandGitHub
10b0399034