Improved Altegio Integration

The Altegio integration is now more accurate, reliable, and easier to connect. When selecting a time slot, the AI agent takes into account the chosen date, master preference, and the full list of services — and finds the nearest available slot for flexible dates. When rescheduling, the agent locates the existing visit, verifies the new time, and moves the booking while keeping a single reservation. Contact details and the verified phone number from the conversation channel are reused automatically, reducing repeated questions to the customer. If availability data is stale, the agent re-checks it and continues the booking flow; a confirmation is sent only after a successful response from Altegio. The unnecessary permission check and the extra access-rights banner have been removed from the connection setup. Business rules, booking restrictions, and customer preferences continue to be respected.