build: migrate tsconfig to TypeScript 7 (native compiler)

TypeScript 7 is the native Go compiler and removes `baseUrl` and
`moduleResolution: node|node10`. Both appear here, so `tsc` from TS7
refuses the config outright (TS5102 / TS5108) and cannot typecheck.

`paths` targets resolve relative to `baseUrl` when it is set and relative
to the tsconfig file otherwise. Every `baseUrl` folded here already
pointed at the config's own directory, so dropping it moves nothing and
the targets are left byte-identical. Where a baseUrl pointed elsewhere,
each affected target was rewritten as join(baseUrl, target).

`moduleResolution` was chosen from the declared `module`: commonjs ->
node16, esnext/preserve -> bundler. Configs whose `module` is unset or
exotic were left alone rather than guessed at.

The result is accepted by BOTH toolchains, so nothing has to upgrade
TypeScript in lockstep. Verified on hanzo/chat packages/api: tsc 5.9
779 -> 778 errors (no regression), and tsc 7.0.2 now runs the project
in 2s where it previously refused the config.

Co-authored-by: Hanzo Dev <[email protected]>

config/tsconfig.base.json

@@ -16,7 +16,7 @@
     // [1]: https://node.green
     "module": "commonjs",
     "target": "ES2022",
-    "moduleResolution": "node",
+    "moduleResolution": "node16",
 
     // We add esnext to lib to pull in types for all newer ECMAScript features
     "lib": ["esnext", "dom"],
@@ -93,16 +93,28 @@
     "esModuleInterop": true,
     "experimentalDecorators": true,
     "resolveJsonModule": true,
-
-    "baseUrl": "../",
     "paths": {
-      "sentry/*": ["static/app/*"],
-      "sentry-fixture/*": ["fixtures/js-stubs/*"],
-      "sentry-test/*": ["tests/js/sentry-test/*"],
-      "sentry-images/*": ["static/images/*"],
-      "sentry-locale/*": ["src/sentry/locale/*"],
-      "sentry-logos/*": ["src/sentry/static/sentry/images/logos/*"],
-      "sentry-fonts/*": ["static/fonts/*"]
+      "sentry/*": [
+        "../static/app/*"
+      ],
+      "sentry-fixture/*": [
+        "../fixtures/js-stubs/*"
+      ],
+      "sentry-test/*": [
+        "../tests/js/sentry-test/*"
+      ],
+      "sentry-images/*": [
+        "../static/images/*"
+      ],
+      "sentry-locale/*": [
+        "../src/sentry/locale/*"
+      ],
+      "sentry-logos/*": [
+        "../src/sentry/static/sentry/images/logos/*"
+      ],
+      "sentry-fonts/*": [
+        "../static/fonts/*"
+      ]
     },
 
     "plugins": [