## Why
`try_start_turn_if_idle` is the core helper for starting injected input
only when the session is actually idle. It should stay focused on
generic turn-lifecycle safety. The previous `ModeKind::Plan` guard mixed
caller policy into that helper: Plan mode may choose not to auto-start
some extension work, but that decision belongs at the extension or
caller boundary rather than in the session injection primitive.
## What changed
- Removed the `ModeKind::Plan` early return from
`Session::try_start_turn_if_idle`.
- Removed the now-unused `ModeKind` import from
`core/src/session/inject.rs`.
## Testing
Not run locally.
## Why
The goal extension needs a way to resume an active goal after the thread
becomes idle, but the old core goal runtime should not be refactored as
part of this step. The missing piece is a small core-owned turn-start
primitive: let an extension ask for a normal model turn only when the
thread is idle, and otherwise fail without injecting into whatever is
currently active.
## What Changed
- Adds `CodexThread::try_start_turn_if_idle(...)` as the narrow
extension-facing primitive for synthetic idle work.
- Implements the session side so it refuses to start when:
- the provided input is empty,
- the session is in plan mode,
- a turn is already active, or
- trigger-turn mailbox work is pending.
- Gives trigger-turn mailbox work priority if it appears while the idle
turn is being prepared.
- Wires `GoalExtension::on_thread_idle` to read the active persisted
goal and submit the continuation prompt through this idle-only
primitive.
- Keeps the legacy core goal continuation implementation in place
instead of folding it into this PR.
## Behavior
This is intentionally best-effort. If `try_start_turn_if_idle` observes
that the thread is not idle, or that higher-priority mailbox work should
run first, it returns the input to the caller. The goal extension drops
that continuation prompt and waits for a future idle opportunity instead
of injecting stale synthetic goal text into an active turn.
## Validation
- `just test -p codex-core
try_start_turn_if_idle_rejects_active_turn_without_injecting`
- `just test -p codex-goal-extension`