Can I ask through which channel, and how long it took, to get a compensation offer.

We had 3 bags delivered 22 hours late and completely wrecked on Jan 22. We have been through “baggage delivery”, “uk reservations” online messaging and even had a meeting with a senior representative in the Plat lounge late March. They have been beyond bad and have wasted time to the extent that over 50 exchanges of correspondence have ensued. It looks like I’m going to have to issue a court claim in The UK but am doing everything to avoid!