chore: Update to TypeScript 5.2.2

tsconfig has to be different for tests due to cjs/esm issues with jest.
Deploy scripts need to use the original tsconfig though,
which is why we have the current nested tsconfigs.

test/deploy/tsconfig.json

@@ -0,0 +1,6 @@
+{
+  "extends": "../../tsconfig.json",
+  "include": [
+    "."
+  ]
+}

test/tsconfig.json

@@ -1,6 +1,7 @@
 {
   "extends": "../tsconfig.json",
   "compilerOptions": {
+    "module": "es2022",
     "moduleResolution": "node"
   },
   "include": [