[Due for payment 2025-07-17] [Suggested Search v2.2] [App] Create a new ‘Feed’ Exposed Filter

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Implement this section of the design doc: https://docs.google.com/document/d/1vXMf1oK3J8A7EcjTGSPtpT2rgHWqcAg-FbuXlObjHZ4/edit?tab=t.0#bookmark=id.bfvaug3kv1nk