There was a slight problem with WISE awhile ago. I queried them not showing international transfer on one occasion. Response was that they cannot 100% guarantee that it will show as International transfer (IT).
If it doesn't show as 'IT' I would suggest send it straight back from thai account to UK or whatever account via DeeMoney, then back via Wise again. Hopefully it will show as 'IT' then, as it did with mine. Timing is crucial though to get it to show during the month. Don't get stressed about it, we can't control everything.