With Wise, I have a British pound account and a US dollar account. Wise will show you the account details.
For my British pound account, the address is shown as a London address, and if I do a reverse lookup of the sort code, it shows the same address and lists the bank name as "Wise Payments Limited". Doing the same for my US dollar account, the address is New York, NY, and the reverse lookup shows a Queens NY address and lists the bank name as "Community Federal Saving Bank".
My British pound account is thus with a non-US bank, and that's the only Wise account I list on FBAR.