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As someone that had a similar experience with Transferwise (actually also a 5k transfer), I'll give you a piece of advice: sue them.

In the US, you can file a small claims easily and without a lawyer. Some jurisdictions will even let you file 100% online, and the filing fees are very low.

After 2 months of Transferwises' excuses, they wired the full amount + legal fees to my account within a few hours of them receiving the notice.