MakerDAO posted on social media that the native DAI on Starknet is not upgradeable, so this version of DAI will stop running after the future "Regenesis" network upgrade.

The old version of DAI on Starknet will be replaced by a new version of DAI bridged through the Starknet standard, and it is recommended that all DAI users on Starknet transfer or migrate their DAI before the deployment of Regenesis.