Woes between iPhone and car Bluetooth speaker

It doesn't say "genuine" in battery settings, but I suppose this is the original battery from the manufacturer. I bought the phone from Koodo in January 2023. I tried checking the serial number, but the Apple website only reports that it is out of warranty, with no other information.

I did call a repair provider to that effect, but they wanted to keep the phone for 24 hours. Going back and forth, for a total of 2 hours of driving and being without a phone. Ridiculous! How long does it take to replace a battery??? An Apple Store would involve 4 hours of driving. Shipping it out would take even longer.

I recently sent my MacBook Pro to Toronto, but got it back from Kentucky. In total, I was 28 days without a computer that I use 24/7 for my business. Apple Store offered to sell me a new one in the meantime, but only offered a 15-day money back guarantee. Not impressed!

Follow-up: I talked to AppleCare not long ago, and was told that the Bluetooth in my vehicle should only work when the engine is running. But, because my Bluetooth speaker has its own battery, it stays on even after I turn off the engine.

Follow-up: I talked to AppleCare earlier, and was told that the Bluetooth in my vehicle should only work when entering the vehicle.

Actually, my Bluetooth speaker has motion activation, whether or not the power switch on the speaker is on or off, according to the instructions. But still they suggest that for normal use, the speaker should remain switched ON, which doesn't make sense to me. When switched OFF, my iPhone doesn't see it, as it should.

I just need to see if the motion activation really works as expected. For that to work, I guess I need to plug it in via a lighter jack with constant power.

I will test it out tomorrow and see if that resolves my issue.

The phone is only 3 years old. Younger than my cat.

The battery capacity is at 81%.