As of the release the recovery of Argent Starknet mobile wallet is possible off-chain only, however, in future, on-chain recovery of the wallet with Starknet guardians is planned.
If you have your Encrypted Recovery Kit, you can proceed with the off-chain recovery.
In order to be able to recover your Starknet wallet alongside with Vault and zkSync wallets, you will need to save or update your Encrypted Recovery Kit when you are prompted.
You can find the guide on saving the Encrypted Recovery Kit here.