The IP thing is normal, Homebridge communicates with Home Assistant via the local Docker network. Your logs show that the communication between Homebridge and Home Assistant is working correctly.
If you have […] Homebridge is running on port 51826. in your logs (just after the code), chances are that Homebridge is launched correctly as well.
I would then fallback to the Homebridge documentation, which has two handy manipulations to solve your problem (under “My iOS App Can’t Find Homebridge”) (don’t forget to restart the add-on each time you change the config). I hope it’ll do the trick for you.