Enhance staffing management with uncovered teacher tracking

- Updated `protocol.md` to clarify the concept of uncovered subjects and the number of additional teachers required.
- Introduced `teachersShort` property in the `StaffingSubject` interface to indicate how many more teachers are needed for a subject.
- Enhanced localization strings to reflect the new uncovered teacher information in both English and Russian.
- Updated the management panel UI to display the number of teachers short for each uncovered subject.
- Revised the `Uncovered` method in the staffing logic to return detailed information about uncovered subjects, including the shortfall of teachers.
- Added tests to validate the new uncovered teacher tracking functionality and ensure accurate reporting in the staffing API.
- Marked related tasks as complete in the documentation for the golden fixtures phase.

tests/HSchool.AppHost.Tests/golden/README.md

@@ -0,0 +1,14 @@
+# Golden saves
+
+`current/` is a school file of today's format. `legacy-no-native/` is the same school without
+`nativeLanguage`, so a missing field still has to mean "first language of the name set" rather
+than a new roll.
+
+These files live forever: a new save field must load `current/` and must not reshuffle
+`legacy-no-native/`. A real format change adds a new folder; it does not rewrite the old one.
+
+Regenerate after an intentional roster change (same commit):
+
+```
+WRITE_GOLDEN=1 dotnet test tests/HSchool.People.Tests/HSchool.People.Tests.csproj --filter Dump_HostSaveFixtures
+```

tests/HSchool.AppHost.Tests/golden/current/1.json

@@ -0,0 +1,63 @@
+{
+  "format": 2,
+  "id": 1,
+  "name": "Золотая",
+  "gameTime": "2012-03-31T06:00:00Z",
+  "running": false,
+  "speedIndex": 1,
+  "modIds": [
+    "core"
+  ],
+  "map": {
+    "territory": {
+      "id": "yard",
+      "def": "SchoolYard"
+    },
+    "buildings": [
+      {
+        "id": "main",
+        "def": "MainBuilding"
+      }
+    ],
+    "floors": [
+      {
+        "id": "floor-1",
+        "def": "StandardFloor",
+        "building": "main",
+        "label": "1"
+      }
+    ],
+    "rooms": [
+      {
+        "id": "classroom-00",
+        "def": "Classroom",
+        "building": "main",
+        "floor": "floor-1",
+        "label": "101",
+        "seats": 16,
+        "slots": []
+      },
+      {
+        "id": "classroom-01",
+        "def": "Classroom",
+        "building": "main",
+        "floor": "floor-1",
+        "label": "102",
+        "seats": 16,
+        "slots": []
+      }
+    ],
+    "links": [
+      {
+        "a": "yard",
+        "b": "classroom-00"
+      },
+      {
+        "a": "yard",
+        "b": "classroom-01"
+      }
+    ]
+  },
+  "nameSetId": "Slavic",
+  "nativeLanguage": "RussianLanguage"
+}

tests/HSchool.AppHost.Tests/golden/legacy-no-native/1.json

@@ -0,0 +1,62 @@
+{
+  "format": 2,
+  "id": 1,
+  "name": "Золотая",
+  "gameTime": "2012-03-31T06:00:00Z",
+  "running": false,
+  "speedIndex": 1,
+  "modIds": [
+    "core"
+  ],
+  "map": {
+    "territory": {
+      "id": "yard",
+      "def": "SchoolYard"
+    },
+    "buildings": [
+      {
+        "id": "main",
+        "def": "MainBuilding"
+      }
+    ],
+    "floors": [
+      {
+        "id": "floor-1",
+        "def": "StandardFloor",
+        "building": "main",
+        "label": "1"
+      }
+    ],
+    "rooms": [
+      {
+        "id": "classroom-00",
+        "def": "Classroom",
+        "building": "main",
+        "floor": "floor-1",
+        "label": "101",
+        "seats": 16,
+        "slots": []
+      },
+      {
+        "id": "classroom-01",
+        "def": "Classroom",
+        "building": "main",
+        "floor": "floor-1",
+        "label": "102",
+        "seats": 16,
+        "slots": []
+      }
+    ],
+    "links": [
+      {
+        "a": "yard",
+        "b": "classroom-00"
+      },
+      {
+        "a": "yard",
+        "b": "classroom-01"
+      }
+    ]
+  },
+  "nameSetId": "Slavic"
+}