refactor: use reqwest client

Using reqwest reduced code duplication since it can be used for both
wasm and non wasm targets.

.github/workflows/ci.yml

@@ -63,6 +63,9 @@ jobs:
         build-args:
           [
             -p cdk,
+            -p cdk --no-default-features,
+            -p cdk --no-default-features --features wallet,
+            -p cdk --no-default-features --features all-nuts,
           ]
     steps:
     - name: Checkout