[engsys] upgrade rush to 5.101.0 and pnpm to 8.6.12 (Azure#26742)

- upgrade `rush` and `pnpm` to their latest versions
- remove a dependency on `@microsoft/rush` that was likely added
accidentally.

Author: jeremymeng

common/scripts/install-run.js

@@ -14,7 +14,7 @@
    * path segment in the "$schema" field for all your Rush config files.  This will ensure
    * correct error-underlining and tab-completion for editors such as VS Code.
    */
-  "rushVersion": "5.100.2",
+  "rushVersion": "5.101.0",
   /**
    * The next field selects which package manager should be installed and determines its version.
    * Rush installs its own local copy of the package manager to ensure that your build process
@@ -23,7 +23,7 @@
    * Specify one of: "pnpmVersion", "npmVersion", or "yarnVersion".  See the Rush documentation
    * for details about these alternatives.
    */
-  "pnpmVersion": "7.32.2",
+  "pnpmVersion": "8.6.12",
   // "npmVersion": "4.5.0",
   // "yarnVersion": "1.9.4",
   /**

rush.json

@@ -68,7 +68,6 @@
     "@azure/core-paging": "^1.5.0",
     "@azure/core-rest-pipeline": "^1.10.3",
     "@azure/logger": "^1.0.0",
-    "@microsoft/rush": "^5.98.0",
     "tslib": "^2.2.0"
   },
   "devDependencies": {