You could consider Gista. It's an AI chatbot that can be integrated into Squarespace. My experience with it has been overall positive so far, and I've found its ability to customize chatbot conversations based on specific data, capture leads via chat, and include external links and visuals in conversations particularly handy. You can try them for free. If you're considering similar functionalities, you can integrate it into Squarespace using the platform's code injection function.
You can embed chatbot by Code Injection:
Hope this helps!