According to https://learn.microsoft.com/en-us/sql/database-engine/install-windows/supported-version-and-edition-upgrades-2022?view=sql-server-ver16, upgrading from SQL 2019 Evaluation to SQL 2022 Standard is a supported upgrade path, so just do an in-place upgrade.
There is a small risk that you have been using/relying on features on available in Standard, so you may first want to install SQL 2022 Standard in a test environment and restore backups of the databases to test.