fix(javascript): preserve import-equals declaration and export evidence (#2062)

* fix(javascript): retain TypeScript import-equals dependencies

* test(mcp): align completion checks with warm provider state

* fix(javascript): propagate require origins through exported aliases

* fix(javascript): normalize equivalent CTS binding origins

---------

Co-authored-by: hhang <169027046+xu91102@users.noreply.github.com>

src/javascript/analysis/JavaScriptAnalysisWorkerSchemas.ts

@@ -471,7 +471,16 @@ const semanticValue: z.ZodType<JavaScriptSemanticValue> = z.lazy(() =>
       };
     }),
 );
-const origin = z.strictObject({ specifier: z.string(), importedPath: strings });
+const origin = z
+  .strictObject({
+    specifier: z.string(),
+    importedPath: strings,
+    resolutionMode: z.enum(["import", "require"]).optional(),
+  })
+  .transform(({ resolutionMode, ...rest }) => ({
+    ...rest,
+    ...(resolutionMode === undefined ? {} : { resolutionMode }),
+  }));
 const provenance = z.discriminatedUnion("status", [
   z.strictObject({
     status: z.literal("module"),
@@ -519,15 +528,28 @@ const coverage = z
       ...(resourceLimits === undefined ? {} : { resourceLimits }),
     };
   });
-const moduleLink = z.strictObject({
-  kind: z.enum(["import", "require", "export", "re-export", "commonjs-export"]),
-  specifier: z.string().nullable(),
-  importedName: z.string().nullable(),
-  localName: z.string().nullable(),
-  exportedName: z.string().nullable(),
-  callableId: z.string().nullable(),
-  location: range,
-});
+const moduleLink = z
+  .strictObject({
+    resolutionMode: z.enum(["import", "require"]).optional(),
+    kind: z.enum([
+      "import",
+      "type-import",
+      "require",
+      "export",
+      "re-export",
+      "commonjs-export",
+    ]),
+    specifier: z.string().nullable(),
+    importedName: z.string().nullable(),
+    localName: z.string().nullable(),
+    exportedName: z.string().nullable(),
+    callableId: z.string().nullable(),
+    location: range,
+  })
+  .transform(({ resolutionMode, ...rest }) => ({
+    ...rest,
+    ...(resolutionMode === undefined ? {} : { resolutionMode }),
+  }));
 const definitionKind = z.enum([
   "import",
   "variable",