refactor(modules/web): Mirgrat to typescript; fix bugs

modules/web/tsconfig.app.json

@@ -0,0 +1,16 @@
+{
+  "extends": "@vue/tsconfig/tsconfig.dom.json",
+  "include": ["env.d.ts", "src/**/*", "src/**/*.vue"],
+  "exclude": ["src/**/__tests__/*"],
+  "compilerOptions": {
+    "composite": true,
+    "tsBuildInfoFile": "./node_modules/.tmp/tsconfig.app.tsbuildinfo",
+
+    "baseUrl": ".",
+    "paths": {
+      "@/*": ["./src/*"],
+      "@api": ["./src/api"],
+      "@utils/*": ["./src/utils/*"]
+    }
+  }
+}