By SQL priniciple:
any straight name is meant to be a COLUMN of the actual table. eg. Embeddings
but an external HostVariable is designated by an initial : (colon) e.g. : new_embedding_str or :params
This seems to be the deeper cause your problem
in addition I'd suggest to add print(new_embedding_str) to verify its format. (one of my problems.
Furthermore, take a closer look to this example:
iris-vector-search/blob/main/demo/sql_demo.ipynb
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