Update staffing management to enhance payroll and hiring functionalities

- Increased the `MonthlyPayrollCap` from 10,000 to 40,000, allowing for greater flexibility in hiring and subject assignments.
- Revised payroll calculation logic to ensure that staff members are compensated based on their actual weekly hours, with a minimum payment reflecting one full rate.
- Updated documentation to clarify the new payroll structure and its implications for hiring and subject assignments.
- Enhanced tests to validate the new payroll cap and ensure proper functionality in staffing scenarios, including the handling of uncovered subjects.
- Improved localization strings to reflect changes in staffing and payroll terminology.

src/HSchool.Server/Api/PeopleModels.cs

@@ -211,6 +211,7 @@ internal sealed record StaffMemberResponse(
     string Position,
     string PositionLabel,
     float HourlyWageAsk,
+    float WeeklyHours,
     float MonthlyPay,
     IReadOnlyList<DefLabelResponse> Subjects);
 
@@ -227,7 +228,7 @@ internal static class StaffingMapper
         roster ??= new Roster([], [], []);
         pool ??= ApplicantPool.Empty;
         var rules = catalog?.StaffingRules;
-        var payroll = rules is null ? 0f : Staffing.Payroll(rules, roster.People);
+        var payroll = rules is null || catalog is null ? 0f : Staffing.Payroll(catalog, rules, roster);
         var remaining = MathF.Round(MathF.Max(0f, allocated - payroll), 2);
 
         var uncovered = catalog is null
@@ -257,7 +258,7 @@ internal static class StaffingMapper
             .Where(person => person.IsStaff)
             .OrderBy(person => person.Name.Surname, StringComparer.Ordinal)
             .ThenBy(person => person.Id, StringComparer.Ordinal)
-            .Select(person => Member(person, catalog, rules, locale, asOf))
+            .Select(person => Member(person, roster, catalog, rules, locale, asOf))
             .ToArray();
 
         var positions = catalog is null
@@ -300,13 +301,15 @@ internal static class StaffingMapper
 
     private static StaffMemberResponse Member(
         Person person,
+        Roster roster,
         DefCatalog? catalog,
         StaffingDef? rules,
         string locale,
         DateTime asOf)
     {
         var ask = person.HourlyWageAsk ?? 0f;
-        var pay = rules is null ? 0f : Staffing.MonthlyPay(rules, ask, person.Subjects.Count);
+        var hours = catalog is null ? 0f : Staffing.WeeklyHours(catalog, roster, person);
+        var pay = rules is null ? 0f : Staffing.MonthlyPay(rules, ask, hours);
         var subjects = person.Subjects
             .Select(name => new DefLabelResponse(
                 name,
@@ -324,6 +327,7 @@ internal static class StaffingMapper
             person.Position ?? string.Empty,
             PeopleListMapper.PositionLabel(catalog, locale, person.Position) ?? person.Position ?? string.Empty,
             ask,
+            MathF.Round(hours, 1),
             pay,
             subjects);
     }