Implement Python inference and inflation library

[nan-yu]

Build the central Python SDK responsible for managing the request-time lifecycle of a template-based UI.a

Proposed tasks:

• Automated Prompt Builder: Create a utility to ingest template libraries and extract minimal schemas for LLM system prompts: https://github.com/nan-yu/A2UI/blob/c319fe70337c0a041ae0c7933bc95e5d7b94afcc/agent_sdks/python/src/a2ui/core/template/manager.py.
• Inflation: Implement logic to traverse a template and replace all {{}} placeholders with literal values from the LLM's data model.
• Handle the logic for mapping LLM-returned templateName to the local template storage.
• Optional: Support native data binding by leveraging the dataModelUpdate schema, allowing the client to resolve placeholders reactively.