V48 Gate 3 (implementation-only): Type deposit_synthesis_dispatched sourcePathHintCount

CI typecheck failed: ProductEvent did not allow sourcePathHintCount on the
dispatch analytics payload after Forced Inclusion was wired into the funnel.

Author: geraldarthurdavis

uapi/lib/product-analytics.ts

@@ -40,6 +40,8 @@ export type ProductEvent =
       name: "deposit_synthesis_dispatched";
       data: {
         hasObfuscations: boolean;
+        /** Forced Inclusion path count (scope shape only). */
+        sourcePathHintCount: number;
         protectedExclusionCount: number;
         demandSignalCount: number;
       };

uapi/tests/productAnalytics.test.ts

@@ -26,19 +26,22 @@ describe("trackProductEvent", () => {
       name: "deposit_synthesis_dispatched",
       data: {
         hasObfuscations: true,
+        sourcePathHintCount: 1,
         protectedExclusionCount: 2,
         demandSignalCount: 3,
       },
     });
 
     expect(mockTrack).toHaveBeenCalledWith("deposit_synthesis_dispatched", {
       hasObfuscations: true,
+      sourcePathHintCount: 1,
       protectedExclusionCount: 2,
       demandSignalCount: 3,
     });
     expect(mockTrackEvent).toHaveBeenCalledWith("deposit_synthesis_dispatched", {
       event_category: "product",
       hasObfuscations: true,
+      sourcePathHintCount: 1,
       protectedExclusionCount: 2,
       demandSignalCount: 3,
     });