Add Clerk 6 Next.js 15 Private Demo (#32326)

GitOrigin-RevId: 95d8d14ef58c3a99855728a01ccd3a92ce1d2f10

npm-packages/common/config/rush/common-versions.json

@@ -69,8 +69,11 @@
      * is typically our priority, but sometimes we're trying to test
      * against the latest TypeScript, the one our users are most likely
      * to be using.
+     *
+     * Next.js async components require 5.1.3 or higher even though their templates
+     * start you off with "^5".
      */
-    "typescript": ["5.0.4", "~5.6.2", "^5"],
+    "typescript": ["5.0.4", "~5.6.2", "^5", "^5.1.3"],
     /**
      * These are for private-demos/tanstack-start to closely match
      * https://github.com/TanStack/router
@@ -82,12 +85,12 @@
      * npx create-next-app@latest next-15-app
      */
     "next": ["15.1.0"],
-    "react": ["^19.0.0"],
-    "react-dom": ["^19.0.0"],
+    "react": ["^19"],
+    "react-dom": ["^19"],
     //"typescript": ["^5"],
     "@types/node": ["^20"],
-    "@types/react": ["^18"],
-    "@types/react-dom": ["^18"],
+    "@types/react": ["^18", "^18.3.17"],
+    "@types/react-dom": ["^18", "^18.3.1"],
     //"eslint": ["^8"],
     "@eslint/eslintrc": ["^3"],
     "eslint-config-next": ["15.1.0"],