docs(headless): close modern runtime slice K2

docs/plans/2026-07-26-modern-runtime-slice-k.md

@@ -1,6 +1,6 @@
 # Modern runtime Slice K — Linux headless and multi-session host
 
-**Status:** K0–K1 COMPLETE; K2 ACTIVE 2026-07-27
+**Status:** K0–K2 COMPLETE; K3 ACTIVE 2026-07-27
 **Parent:** `2026-07-24-modern-runtime-architecture.md`, Slice K
 **Authorization:** the user approved Slices F–L on 2026-07-24
 **Purpose:** run efficient automated clients on Linux without a display, GPU,
@@ -265,6 +265,19 @@ cleanly without loading presentation assemblies.
 
 ### K2 — deterministic scheduler and bot API parity
 
+**Complete at `7e8acb74` plus `38e83640`.** One monotonic
+absolute-deadline scheduler advances every configured session in stable order,
+uses bounded elapsed-time catch-up, and represents reconnect quiescence as a
+deadline. Graphical and headless hosts now use the same Runtime local-player
+frame controller, action owners, typed movement/selection/interaction/combat/
+magic/state commands, hostile-target query, and ordered lifecycle/entity/
+inventory/chat/movement/portal/combat/command event stream. The deterministic
+gate proves MoveToState/AutonomousPosition order and elapsed cadence, stale
+generation rejection, and 100,000 idle dispatch probes with zero turns and
+zero managed allocation. Runtime passes 411 tests, Headless 31, App 3,732/3
+skips, and the complete Release solution 8,744/5 skips. Evidence:
+`docs/research/2026-07-27-slice-k2-deterministic-bot-parity.md`.
+
 - Add the absolute-deadline multi-session scheduler.
 - Serialize accepted per-session work while allowing sessions to progress
   independently.
@@ -363,3 +376,16 @@ K0 exact rollback:
 ```text
 git revert aada8a37c1e933f9f0a3f41dc4f05615b01023bc
 ```
+
+K1 exact rollback:
+
+```text
+git revert f8cb840fb15b27f61afa5c33cad6c4dba8584949
+```
+
+K2 exact rollback, newest first:
+
+```text
+git revert 38e83640d907ee3e0819f3b38ca117ca60914d6b
+git revert 7e8acb74dd20931d5ba88430fd100cd074a32e4d
+```