Refactor AppReduced to use basepath config option

The `admin_basepath` configuration option has been renamed to `basepath`
for clarity and consistency. This change affects how the admin base path
is accessed and utilized within the `AppReduced` utility. Tests have
been updated to reflect this renaming.

app/__test__/ui/client/utils/AppReduced.spec.ts

@@ -1,6 +1,6 @@
 import { describe, it, expect, beforeEach } from "vitest";
 import { AppReduced, type AppType } from "ui/client/utils/AppReduced";
-import type { BkndAdminOptions } from "ui/client/BkndProvider";
+import type { BkndAdminProps } from "ui/Admin";
 
 // Import the normalizeAdminPath function for testing
 // Note: This assumes the function is exported or we need to test it indirectly through public methods
@@ -23,9 +23,9 @@ describe("AppReduced", () => {
    });
 
    describe("getSettingsPath", () => {
-      it("should return settings path with admin_basepath", () => {
-         const options: BkndAdminOptions = {
-            admin_basepath: "/admin",
+      it("should return settings path with basepath", () => {
+         const options: BkndAdminProps["config"] = {
+            basepath: "/admin",
             logo_return_path: "/",
          };
 
@@ -35,9 +35,9 @@ describe("AppReduced", () => {
          expect(result).toBe("~/admin/settings");
       });
 
-      it("should return settings path with empty admin_basepath", () => {
-         const options: BkndAdminOptions = {
-            admin_basepath: "",
+      it("should return settings path with empty basepath", () => {
+         const options: BkndAdminProps["config"] = {
+            basepath: "",
             logo_return_path: "/",
          };
 
@@ -48,8 +48,8 @@ describe("AppReduced", () => {
       });
 
       it("should append additional path segments", () => {
-         const options: BkndAdminOptions = {
-            admin_basepath: "/admin",
+         const options: BkndAdminProps["config"] = {
+            basepath: "/admin",
             logo_return_path: "/",
          };
 
@@ -60,8 +60,8 @@ describe("AppReduced", () => {
       });
 
       it("should normalize multiple slashes", () => {
-         const options: BkndAdminOptions = {
-            admin_basepath: "//admin//",
+         const options: BkndAdminProps["config"] = {
+            basepath: "//admin//",
             logo_return_path: "/",
          };
 
@@ -71,9 +71,9 @@ describe("AppReduced", () => {
          expect(result).toBe("~/admin/settings/user");
       });
 
-      it("should handle admin_basepath without leading slash", () => {
-         const options: BkndAdminOptions = {
-            admin_basepath: "admin",
+      it("should handle basepath without leading slash", () => {
+         const options: BkndAdminProps["config"] = {
+            basepath: "admin",
             logo_return_path: "/",
          };
 
@@ -85,9 +85,9 @@ describe("AppReduced", () => {
    });
 
    describe("getAbsolutePath", () => {
-      it("should return absolute path with admin_basepath", () => {
-         const options: BkndAdminOptions = {
-            admin_basepath: "/admin",
+      it("should return absolute path with basepath", () => {
+         const options: BkndAdminProps["config"] = {
+            basepath: "/admin",
             logo_return_path: "/",
          };
 
@@ -98,8 +98,8 @@ describe("AppReduced", () => {
       });
 
       it("should return base path when no path provided", () => {
-         const options: BkndAdminOptions = {
-            admin_basepath: "/admin",
+         const options: BkndAdminProps["config"] = {
+            basepath: "/admin",
             logo_return_path: "/",
          };
 
@@ -110,8 +110,8 @@ describe("AppReduced", () => {
       });
 
       it("should normalize paths correctly", () => {
-         const options: BkndAdminOptions = {
-            admin_basepath: "//admin//",
+         const options: BkndAdminProps["config"] = {
+            basepath: "//admin//",
             logo_return_path: "/",
          };
 
@@ -124,8 +124,8 @@ describe("AppReduced", () => {
 
    describe("options getter", () => {
       it("should return merged options with defaults", () => {
-         const customOptions: BkndAdminOptions = {
-            admin_basepath: "/custom-admin",
+         const customOptions: BkndAdminProps["config"] = {
+            basepath: "/custom-admin",
             logo_return_path: "/custom-home",
          };
 
@@ -135,27 +135,27 @@ describe("AppReduced", () => {
          expect(options).toEqual({
             basepath: "/",
             logo_return_path: "/custom-home",
-            admin_basepath: "/custom-admin",
+            basepath: "/custom-admin",
          });
       });
 
       it("should use default logo_return_path when not provided", () => {
-         const customOptions: BkndAdminOptions = {
-            admin_basepath: "/admin",
+         const customOptions: BkndAdminProps["config"] = {
+            basepath: "/admin",
          };
 
          appReduced = new AppReduced(mockAppJson, customOptions);
          const options = appReduced.options;
 
          expect(options.logo_return_path).toBe("/");
-         expect(options.admin_basepath).toBe("/admin");
+         expect(options.basepath).toBe("/admin");
       });
    });
 
    describe("path normalization behavior", () => {
       it("should normalize duplicate slashes in settings path", () => {
-         const options: BkndAdminOptions = {
-            admin_basepath: "/admin",
+         const options: BkndAdminProps["config"] = {
+            basepath: "/admin",
             logo_return_path: "/",
          };
 
@@ -166,8 +166,8 @@ describe("AppReduced", () => {
       });
 
       it("should handle root path normalization", () => {
-         const options: BkndAdminOptions = {
-            admin_basepath: "/",
+         const options: BkndAdminProps["config"] = {
+            basepath: "/",
             logo_return_path: "/",
          };
 
@@ -175,13 +175,13 @@ describe("AppReduced", () => {
          const result = appReduced.getAbsolutePath();
 
          // The normalizeAdminPath function removes trailing slashes except for root "/"
-         // When admin_basepath is "/", the result is "~/" which becomes "~" after normalization
+         // When basepath is "/", the result is "~/" which becomes "~" after normalization
          expect(result).toBe("~");
       });
 
       it("should preserve entity paths ending with slash", () => {
-         const options: BkndAdminOptions = {
-            admin_basepath: "/admin",
+         const options: BkndAdminProps["config"] = {
+            basepath: "/admin",
             logo_return_path: "/",
          };
 
@@ -192,8 +192,8 @@ describe("AppReduced", () => {
       });
 
       it("should remove trailing slashes from non-entity paths", () => {
-         const options: BkndAdminOptions = {
-            admin_basepath: "/admin",
+         const options: BkndAdminProps["config"] = {
+            basepath: "/admin",
             logo_return_path: "/",
          };
 
@@ -205,21 +205,21 @@ describe("AppReduced", () => {
    });
 
    describe("edge cases", () => {
-      it("should handle undefined admin_basepath", () => {
-         const options: BkndAdminOptions = {
+      it("should handle undefined basepath", () => {
+         const options: BkndAdminProps["config"] = {
             logo_return_path: "/",
          };
 
          appReduced = new AppReduced(mockAppJson, options);
          const result = appReduced.getSettingsPath();
 
-         // When admin_basepath is undefined, it defaults to empty string
+         // When basepath is undefined, it defaults to empty string
          expect(result).toBe("~/settings");
       });
 
       it("should handle null path segments", () => {
-         const options: BkndAdminOptions = {
-            admin_basepath: "/admin",
+         const options: BkndAdminProps["config"] = {
+            basepath: "/admin",
             logo_return_path: "/",
          };