iPhone 14 hacked (or something); won't reset

So yesterday, four friends and one stranger I've never heard of called and said "You called me? You didn't say anything", or something like that. I didn't butt-dial; my phone showed no outgoing calls. I immediately deleted all email accounts on the phone, changed all passwords, and tried to do an Emergency Reset, but it wouldn't let me; it said "Unable to stop sharing in Home", which I have never even opened.

My first reaction was to delete the app, but I still couldn't Reset for the same reason -- so I figured since you can never *really* get rid of an app, I downloaded it from the Apple Store, and it said that a relative of mine (on my Contacts list) was in charge of the app. There was not a way to change it. I deleted again. I started going through apps and found that under Contacts, on the General page, the same relative is listed in the "My info." But they are still my contacts, not hers. And, going through the whole list, I found I was signed into the Gaming app, with some set of random letters and numbers as my name. I have never opened that app.

The strangest thing was, under my info in Settings, it showed my laptop, and "[my name]'s iPhone 14 (2)." Meaning two phones -- with the same numbers?

Still no Emergency Reset, same reason (it said "stop sharing in Home"). So I tried the factory reset on the General Settings. I'm prepared to ditch all data; it's backed up one way or another. It starts -- the first little white bar under the apple fills and lights up fast, then it goes to the second, slower bar graph thing, makes it about 5% along, then stops and goes back to the home screen. I have to enter a new passcode, etc, but the data is still all there: my photos, Notes, everything I was told I'd lose. I've tried ore than once, and it never gets more than a millimeter or two along the little graph line.

*The one good thing is, it no longer says I have two phones. Is the other one GONE, gone, or just shows it gone? Because I still cannot Emergency Reset because I'm still "sharing in Home."

Got onto a chat with Apple support. He had me do a hard restart, then basically do what I've described here, although both resets were my suggestions which he jut sort of went along with. He suggested connecting my laptop to the phone to reset it, but I decided no way am I hooking up the infected device to my one good one.

He finally said I'll have to take it to an Apple Store and have it physically examined. The problem with that is, I live 400 miles from the nearest Apple store. I can get there, but it'll be a while. My phone no longer says I have two phones, but something's still up with the Home app. No way am I taking it to the goofballs at the Verizon store.

Also, no one has called me saying I must have butt-dialed them since these resets, either.

When I bought this phone, I connected it to my old iPhone 6 to bring over its data, and then the home screen suddenly looked like the 6's. I didn't mind because I prefer the 6's set-up. But would this have caused some vulnerability? And no, no one has had physical control of my phone.

...Thoughts?