Hello Damien O'Connor,
Welcome to the MS Q&A platform.
My understanding is Synapse Lake database supports SQL authentication(synapse lake databases are on serverless SQL endpoint).
However, you can use logic apps and rest API to deploy and refresh a tabular model where the data source requires AAD auth.
Please see this video tutorial and the below Microsoft documentation.
https://learn.microsoft.com/en-us/azure/analysis-services/analysis-services-refresh-logic-app
I hope this helps.