In a three-word compound adjective, a hyphen is typically used between each word in the sequence (e.g., “a well-thought-out plan”).
When a three-word compound adjective incorporates a compound proper noun, such as “New York,” it is generally unnecessary to use a hyphen between the words that comprise the proper noun (e.g., “New York-style,” “Great Gatsby-themed,” “Franz Kafka-inspired”).
In cases like these, many writers use an en dash instead of a hyphen (e.g., “New York–style”) to emphasize that both words of the compound noun are connected to the other word to form the compound adjective.
The QuillBot Grammar Checker can help ensure you’re using hyphens correctly.