I just realized the phone number here is from the song "867-5309 /Jenny" By Tommy Tutone. So it should be called JENNYS trash service, not JAYS >:(
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It is gender neutral. Google "Is jay gender neutral?" and this is the answer you'll get:
Neutral names can help make it safer for people to explore their gender expressions. In English-speaking countries, some of the most familiar gender-neutral names starting with J include Jackie, Jaden, Jan, Jamie, Jay, Jean, Jerry, Jessie, Jo, and Jordan.