feat(a339x/fms): add PAX NBR entry field on INIT A

hdw-a339x/src/systems/instruments/src/MCDU/legacy/A32NX_FMCMainDisplay.ts

@@ -90,6 +90,7 @@ export abstract class FMCMainDisplay implements FmsDataInterface, FmsDisplayInte
   /** Declaration of every variable used (NOT initialization) */
   private maxCruiseFL = 410;
   private recMaxCruiseFL = 415;
+  public paxNbr: number | undefined;
   public coRoute = { routeNumber: undefined, routes: undefined };
   public perfTOTemp = NaN;
   private _routeFinalFuelWeight = 0;
@@ -714,7 +715,7 @@ export abstract class FMCMainDisplay implements FmsDataInterface, FmsDisplayInte
 
     this.efisSymbolsLeft?.update();
     this.efisSymbolsRight.update();
-    
+
     this.arincBusOutputs.forEach((word) => word.writeToSimVarIfDirty());
   }
 
@@ -2119,6 +2120,24 @@ export abstract class FMCMainDisplay implements FmsDataInterface, FmsDisplayInte
     return false;
   }
 
+  public tryUpdatePaxNbr(paxNbr: string): boolean {
+    const value = parseInt(paxNbr);
+    if (isFinite(value)) {
+      if (value >= 0) {
+        if (value < 1000) {
+          this.paxNbr = value;
+          this.updateManagedSpeeds();
+          return true;
+        } else {
+          this.setScratchpadMessage(NXSystemMessages.entryOutOfRange);
+          return false;
+        }
+      }
+    }
+    this.setScratchpadMessage(NXSystemMessages.notAllowed);
+    return false;
+  }
+
   public tryUpdateCostIndex(costIndex: string): boolean {
     const value = parseInt(costIndex);
     if (isFinite(value)) {

hdw-a339x/src/systems/instruments/src/MCDU/legacy/LegacyFmsPageInterface.ts

@@ -187,6 +187,7 @@ interface LegacyFmsPageFmsInterface extends FmsDataInterface, FmsDisplayInterfac
   getDestinationTransitionLevel(): number | undefined;
   getNavModeSpeedConstraint(): number;
   trySetPreSelectedClimbSpeed(s: string): boolean;
+  tryUpdatePaxNbr(paxNbr: string): boolean;
   tryUpdateCostIndex(costIndex: string): boolean;
   trySetPerfClbPredToAltitude(value: string): boolean;
   trySetPreSelectedCruiseSpeed(s: string): boolean;
@@ -250,6 +251,8 @@ interface LegacyFmsPageFmsInterface extends FmsDataInterface, FmsDisplayInterfac
   simbrief: any;
   isCostIndexSet: boolean;
   costIndex: number | undefined;
+  isPaxNbrSet: boolean;
+  paxNbr: number | undefined;
   cruiseLevel: number | undefined;
   cruiseTemperature?: number;
   tempCurve: any; // we don't have the MSFS SDK typings for these curves