fix: fixup exports from noir_wasm (#4022)

# Description

## Problem\*

Resolves <!-- Link to GitHub Issue -->

## Summary\*

The ordering on `exports` is important plus we have `types` missing
which was causing issues in `aztec-packages`.

## Additional Context



## Documentation\*

Check one:
- [ ] No documentation needed.
- [ ] Documentation included in this PR.
- [ ] **[Exceptional Case]** Documentation to be submitted in a separate
PR.

# PR Checklist\*

- [ ] I have tested the changes locally.
- [ ] I have formatted the changes with [Prettier](https://prettier.io/)
and/or `cargo fmt` on default settings.

.github/workflows/test-js-packages.yml

@@ -80,7 +80,9 @@ jobs:
         uses: actions/upload-artifact@v3
         with:
           name: noir_wasm
-          path: ./compiler/wasm
+          path: |
+            ./compiler/wasm/dist
+            ./compiler/wasm/build
           retention-days: 3
 
   build-acvm-js:

compiler/wasm/.gitignore

@@ -1,3 +1,2 @@
-noir-script/target
 dist
 build

compiler/wasm/package.json

@@ -9,9 +9,10 @@
   "types": "./dist/types/src/index.d.cts",
   "exports": {
     "node": "./dist/node/main.js",
-    "default": "./dist/web/main.mjs",
     "import": "./dist/web/main.mjs",
-    "require": "./dist/node/main.js"
+    "require": "./dist/node/main.js",
+    "types": "./dist/types/src/index.d.cts",
+    "default": "./dist/web/main.mjs"
   },
   "files": [
     "dist",