Bundle loot-core types into the API (#2053)

* Bundle loot-core types into the API

So we can have loot-core be the source of truth
for some types that get passed through

- Improves downstream development with API by including types
- Use path aliases for dist vs dev tsconfigs
- Convert api index to typescript as example
- Permit ts-ignore for issues with our version of typescript

---------

Co-authored-by: Matiss Janis Aboltins <matiss@mja.lv>

packages/api/tsconfig.dist.json

@@ -8,8 +8,12 @@
     "moduleResolution": "Node16",
     "noEmit": false,
     "declaration": true,
-    "outDir": "dist"
+    "outDir": "dist",
+    "declarationDir": "@types",
+    "paths": {
+      "loot-core/*": ["./@types/loot-core/*"],
+    }
   },
   "include": ["."],
-  "exclude": ["dist"]
+  "exclude": ["**/node_modules/*", "dist", "@types"]
 }