Hey,
unfortunately there is no direct connector to AAS as linked service within synapse/ADF but you can use a below workaround :
https://datasharkx.wordpress.com/2021/03/16/copy-data-from-ssas-aas-through-azure-data-factory/ As linked server is not preferred, then only below option would suffice:
But in case if there is an MFA issue, you would need to use MSFT fabric :
https://datasharkx.wordpress.com/2023/10/31/copy-data-from-azure-analysis-service-aas-through-microsoft-fabric/ As there is no rest api in analysis services to fetch data