Please update app/lia_ure.py with the following focused changes:

1) Improve detect_appointment_confirmation so it also picks up messages like:
   - "Maybe Tuesday afternoon if that works?"
   - "Saturday morning is fine"
   - "Tomorrow afternoon"
   - "Ok can I book Saturday at 10:30?"

   Implement it like this (you can reuse or adapt my existing function):

   - At the top of the file, import re and define:

     DAY_WORDS = ["monday","tuesday","wednesday","thursday","friday","saturday","sunday"]
     TIME_OF_DAY = ["morning","afternoon","evening"]
     RELATIVE_WORDS = ["tomorrow","this weekend","this week","next week","later today"]
     TIME_REGEXES = [
         re.compile(r"\b([01]?\d|2[0-3]):[0-5]\d\b"),      # 14:30, 9:05
         re.compile(r"\b([1-9]|1[0-2])\s?(am|pm)\b"),      # 9am, 10 pm
     ]

   - Then implement:

     def detect_appointment_confirmation(body_lower: str) -> bool:
         # day + time-of-day (e.g. "tuesday afternoon")
         if any(d in body_lower for d in DAY_WORDS) and any(t in body_lower for t in TIME_OF_DAY):
             return True

         # relative terms + time-of-day (e.g. "tomorrow morning")
         if any(word in body_lower for word in RELATIVE_WORDS) and any(t in body_lower for t in TIME_OF_DAY):
             return True

         # day + " at " pattern (e.g. "saturday at 10:30")
         if " at " in body_lower and any(d in body_lower for d in DAY_WORDS):
             return True

         # explicit time patterns
         for pattern in TIME_REGEXES:
             if pattern.search(body_lower):
                 return True

         return False

2) Add an EARLY RETURN in generate_lia_reply when an appointment is detected, BEFORE any other handlers run.

   - After normalising the inbound text and checking opted_out, add:

     if detect_appointment_confirmation(body_lower):
         raw_name = customer_state.get("customer_name")
         name = raw_name if raw_name else "there"

         reply = (
             f"Perfect, {name} – I’ve made a note of that.\n\n"
             "If anything changes before then, just drop me a quick message here."
         )

         customer_state["appointment_status"] = "BOOKED"
         customer_state["appointment_confirmed_text"] = inbound_text
         customer_state["appointment_confirmed_at"] = datetime.now(timezone.utc).isoformat()
         customer_state["last_message"] = inbound_text
         customer_state["last_reply_type"] = "APPOINTMENT_CONFIRMED"

         return reply, customer_state

   - Make sure datetime and timezone are imported at the top:
     from datetime import datetime, timezone

3) Replace the “Unknown” fallback with a softer “there”:

   - Wherever we build the customer name, use:

     raw_name = customer_state.get("customer_name")
     name = raw_name if raw_name else "there"

   - Then use `name` in the reply templates (e.g. "Hi there" instead of "Hi Unknown").

4) After making these changes, run `python -m app.lia_ure` to ensure the module still runs its test block without errors.

Only change what’s needed for these behaviours; keep the rest of the Universal Reply Engine logic as it is.