The phrase "stays pat" can mean different things depending on the context. Some common synonyms for this phrase may include "stands firm," "remains unchanged," "stays the course," or "maintains status quo." In some cases, "stays pat" may also imply a resistance to change or a lack of willingness to adapt or evolve. Other related synonyms could include "reinforcing," "upholding," or "holding steady." It is important to use synonyms carefully and to choose the one that best fits the intended meaning and context of the phrase in question.