Package deployment fails on v3.0.0

With the update to v3 deployment started to fail with:
```
Run azure/webapps-deploy@v3
Package deployment using OneDeploy initiated.
Error: Failed to deploy web package to App Service.
Error: Deployment Failed, Error: Failed to deploy web package using OneDeploy to App Service.
Not Found (CODE: [40](https://github.com/pure-fa/fa-cbs-lighthouse/actions/runs/6532560651/job/17735980172?pr=85#step:16:41)4)
```
On v2 the workflow and function app configuration we have was working. Since the release doc explicitly says that `Users who are currently using the webapps-deploy@v2 can still use the same action without any change in the workflow file.` I assume no changes are needed on our side.

Our workflow for reference:
```
- name: Publish package
id: publish_package
uses: azure/webapps-deploy@v3
with:
resource-group-name: ${{ env.AZURE_FUNCTION_RESOURCE_GROUP_NAME }}
app-name: ${{ env.AZURE_FUNCTION_APP_NAME }}
package: ${{ env.AZURE_FUNCTION_APP_PACKAGE_PATH }}
```