Frying pan or Fire choice. I suppose it comes down to who will lie more effectively and convincingly. If it is a day trip, I assume that you will not have hold baggage so in three weeks time BA will either have sorted out this mess or closed operations.

Just out of curiosity, on what basis to you base your claim that the check-in/desk staff with whom most people might deal, or the Lounge Staff (who have worked in other Terminals for year actually lied (ie deliberately gave falsehood that they knew was untrue).