Enhance AI and simulation components with presence management and routing capabilities

- Introduced the `HSchool.Ai` project, responsible for routing, day plans, and presence management.
- Updated the `HSchool.Simulation` project to integrate with the new AI functionalities, improving decision-making and presence tracking.
- Added `travelMinutes` to room and territory definitions, ensuring accurate movement calculations within the simulation.
- Enhanced the `School` class to manage presence and implement empty-time skipping functionality.
- Updated documentation to reflect the new AI features and their impact on school simulation.
- Added tests for presence management and routing to ensure robust functionality and reliability.

AGENTS.md

@@ -13,7 +13,8 @@ way; this file is *how to work in them*.
 | skills, traits, body, needs, name sets | `src/HSchool.Content` |
 | people generation, families, roster records, yearly intake | `src/HSchool.People` |
 | timetable planning | `src/HSchool.Schedule` |
-| people in a school's World, need decay | `src/HSchool.Simulation` |
+| routes, day plans, who comes today | `src/HSchool.Ai` |
+| people in a school's World, need decay, walking | `src/HSchool.Simulation` |
 | the menu API (list, create, delete, mods, catalog) and the people list/card | `src/HSchool.Server/Api` **and** `docs/protocol.md` |
 | what the socket carries | `src/HSchool.Protocol` **and** `src/HSchool.Client/src/net/protocol.ts` **and** `docs/protocol.md` |
 | connection handling, workers, saves | `src/HSchool.Server` |
@@ -111,6 +112,8 @@ say so explicitly in the change description.
   produce the same roster; the suite does not boot a host.
 - Timetable planning belongs in `tests/HSchool.Schedule.Tests`. Same staff, map and locks must
   produce the same table; the suite does not boot a host.
+- Walking and day plans belong in `tests/HSchool.Ai.Tests`. Same seed and map must produce the
+  same route and commute; the suite does not boot a host, and it does not reference Arch.
 - Catalog, inheritance, patches and map validation belong in `tests/HSchool.Content.Tests`.
   Feed the loader documents, not disk paths.
 - Protocol changes need a round-trip test **and** a byte-layout assertion on both sides.
@@ -164,3 +167,6 @@ say so explicitly in the change description.
   wrong for anything that must arrive exactly once — such a message would need its own path.
 - `erasableSyntaxOnly` is off in `tsconfig.app.json` on purpose: constructor parameter properties
   are used throughout.
+- **A large one-shot `Tick(week)` jumps the clock, then applies all those minutes at the new
+  time.** Presence equality tests must loop `FixedDeltaTime` or one game minute. `string.GetHashCode`
+  is randomized — commute slack goes through `Seed.Mix`, never that.