change(tooling): typecheck in CI, update ts to 6

fix(ui-tui): fix ts 6 real type errors

change(tooling): use new node everywhere

website/package-lock.json

@@ -22,7 +22,7 @@
         "@docusaurus/module-type-aliases": "3.9.2",
         "@docusaurus/tsconfig": "3.9.2",
         "@docusaurus/types": "3.9.2",
-        "typescript": "~5.6.2"
+        "typescript": "^6.0.3"
       },
       "engines": {
         "node": ">=20.0"
@@ -18926,9 +18926,9 @@
       }
     },
     "node_modules/typescript": {
-      "version": "5.6.3",
-      "resolved": "https://registry.npmjs.org/typescript/-/typescript-5.6.3.tgz",
-      "integrity": "sha512-hjcS1mhfuyi4WW8IWtjP7brDrG2cuDZukyrYrSauoXGNgx0S7zceP07adYkJycEr56BOUTNPzbInooiN3fn1qw==",
+      "version": "6.0.3",
+      "resolved": "https://registry.npmjs.org/typescript/-/typescript-6.0.3.tgz",
+      "integrity": "sha512-y2TvuxSZPDyQakkFRPZHKFm+KKVqIisdg9/CZwm9ftvKXLP8NRWj38/ODjNbr43SsoXqNuAisEf1GdCxqWcdBw==",
       "devOptional": true,
       "license": "Apache-2.0",
       "bin": {