There are three things. Here are the details:

1. The table, if defined as Live.table_name, the DLT assumes that the DLT pipeline manages this table.
2. If defined as catalog_name.schema_name.table_name. The DLT interprets as a reference to the external table.
3. Finally, when you have the same table name in both scenarios and if you miss LIVE. prefix in your code, which causes ambiguity and gives warnings.

Please let me know if you need any more information.