What are some specific strategies to create consistent communication and collaborative relationships with the product team as a PMM?

This one has to start with clear, shared goals/OKRs. You have to understand what the product team is on the hook for and figure out how your work aligns. Some product leaders are trying to get more impressions on their product, some are focused squarely on pipeline, etc. For instance, with the most recent launch I'm working on, product leadership cared most about landing a certain number of customers. So our comms to that team and between teams is about progress, pivots, and anything to do with hitting our customer goal.