No-coverage answer
There is no information in the Taygetan contact material to answer this question directly. King Solomon is mentioned only in passing — once in transcript 277 as an example of historical figures whose identities were manipulated, and the Star of David appears briefly in transcript 161 as part of an astrotheological analysis of Christianity. Neither reference discusses the "Seals of Solomon" as specific objects, artefacts, or symbols, nor attributes any extraterrestrial origin or function to them. The transcripts do not address Solomonic magic, the Lesser or Greater Keys of Solomon, or any tradition associated with Solomon's alleged power over spirits.
Sources: None specific to the Seals of Solomon. Passing mentions of Solomon in Transcripts 277 (Gosia/Athena Swaruu) and 161 (Swaruu of Erra) are contextual only and do not address the question.