## Why
Remote v2 compaction can return replacement-history items without IDs.
Because replacement history is installed directly, those items bypass
normal history preparation and remain ID-less in later Responses
requests even when the `item_ids` feature is enabled.
## What changed
- Pass the active `TurnContext` into `replace_compacted_history`.
- When `item_ids` is enabled, assign missing IDs before installing and
persisting replacement history.
- Rebuild `CompactedItem` from the prepared history so live and
persisted replacement histories match.
- Add integration coverage requiring IDs on every ID-capable input item
in the initial, remote v2 compaction, and post-compaction requests.
## Test plan
- `just test -p codex-core response_item_ids`
- `just test -p codex-core websocket_v2_test_codex_shell_chain`
- `just test -p codex-core remote_compaction_parity_pre_turn_auto`
- `just test -p codex-app-server
thread_inject_items_adds_raw_response_items_to_thread_history`
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