Estranged Relative Died, Cops Want Me To Come To The Police Station To Talk

Location: The deceased lived in New York City, I live in New Jersey.
I got a call this morning that my grandmother died. I have not spoken to her or been in the same room with her since February of 2020. The cop sounded pretty disoriented, repeatedly referring to me as her brother even after I corrected him, and accidentally hanging up on me once. He said he wants to me to come into the tomorrow to talk. I didn't say yes, rather I said "thank you for letting me know," hung up, and put my phone in DND mode. He left another message, just repeating his name and schedule and saying it's very important for me to come in to talk in person.
As far as I know, we have a handful of relatives who live in the New York City area. AFAIK, they don't talk to her, but I don't know why (not that "why" is likely to be relevant in this context). They don't talk to me either, for what it's worth.
Honestly, I don't want to be involved. I realize that by doing that I'd probably be giving up any claims to any property, etc., she might have left to me. I'm very aware of that and I am completely fine with it. My ideal end goal is to just not hear about this again and let city/state authorities do what they must with her estate and all of that.
So my questions are:
- If I ignore this and it doesn't escalate (like cops showing up at my door, for example), am I likely to be arrested?
- Is this the sort of "cop wants to talk to you" scenario where I need to lawyer up ASAP? Or should I disregard it if I don't receive a subpoena?
- During all this stuff, do I need to be wary about traveling to NY? The sort of situation I'm thinking of is getting pulled over for a traffic stop and having an unknown warrant because of this.
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