Data Clean Rooms vs Standard Sharing

Claro is in discussions with a major retail bank. Both organisations want to understand the overlap between their customer bases - specifically whether Claro app users are also customers of the bank. Neither party is willing to share their raw customer list with the other: the bank won't expose its customer database, and Claro won't expose its USERS table. Both want to run a joint analysis without the other seeing individual customer records.

Which Snowflake feature is most appropriate for this collaboration?