Bump to Rush 5.165.0-pr5496.0. (#5531)

* Bump to Rush 5.165.0-pr5496.0.

* Bump to Rush 5.165.0-pr5496.1.

Author: iclanton

common/scripts/install-run.js

@@ -16,7 +16,7 @@
    * 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": "5.164.0",
+  "rushVersion": "5.165.0-pr5496.2",
 
   /**
    * The next field selects which package manager should be installed and determines its version.