Per the release notes for Databricks Runtime 16.4 LTS, the environment has Apache Spark 3.5.2 and Delta Lake 3.3.1:
https://docs.databricks.com/aws/en/release-notes/runtime/16.4lts
However, Delta Lake 3.3.1 is built on Spark 3.5.3; the newest version of Delta Lake compatible with Spark 3.5.2 is Delta Lake 3.2.0.
Whatever custom modifications to Spark and Delta Lake have been done behind the scenes to enable this, it makes it impossible to build an equivalent environment for local development and testing. This is not what one expects from an LTS version.