re. your question, no need to add marketing… if ‘product’ and ‘strategy’ haven’t given it away, then it will be unlikely than an additional label will yield a different type/quality of applicant

in addition to your essentials laundry list on the ad, may i just suggest you ‘pick’ specific people currently performing roles that may have gotten them prepared to do your product manager gig. think of all these wonderful EA’s, PA’s, office managers, assistants (chuck in whatever label you want) that have enough empathty and org/project skills to understand what a ‘portfolio of experiences’ may look like.

all the best finding the right candidate.