BatchLead-HubSpot Contact Sync

I need to setup a clean, reliable way to push every new or updated contact from BatchLead straight into HubSpot, carrying over the full contact profile—name, email, phone, address, tags, notes, everything the BatchLead API exposes. My only goal right now is accurate one-way synchronization; automated lead scoring or task management can wait until later versions.

Here’s what success looks like to me:
• A small middleware script, custom app, or Zapier/Make scenario that watches BatchLead and creates or updates the matching contact in HubSpot in real time (or near real time).
• All standard and custom fields mapped correctly so no data is lost.
• Duplicate prevention based on email or another unique field.
• Simple setup instructions plus a brief README so I can adjust field mappings on my own.

You are free to choose the best toolset—HubSpot API, BatchLead webhook endpoints, Node.js, Python, or a low-code automation platform—as long as the sync is dependable and easy for me to maintain.