Recently, Microsoft announced the preview of serverless for Hyperscale in the Azure SQL Database, which brings together the benefits of serverless and Hyperscale into a single database solution.

Microsoft Learn -- There's excellent material on Azure OpenAI and integrating AI into your apps Azure Cosmos DB documentation -- Especially the sections on vector searching, vector indexing, and ...

Copilot for Azure SQL Database has limited private preview and no pricing information. Microsoft has indicated to me that this will be a paid offering but has offered no pricing model.

Using a connection to Azure Arc, which is part of the SQL Server 2022 setup process, on-premises users can now also opt for cloud-enabled billing to manage consumption spikes or for ad hoc use cases.