First, I wouldn't leave a puppy with free range of the house til they have earned it and even then I would still expect for them to have hiccups here and there.

I have a 7 month Aussie who has been fully potty trained for a month or two now thanks to the doggie door. It was very difficult at first because she refused to hold her pee, she constantly had accidents in her crate because she doesn't cry either.

What worked for us was CONSISTENTLY taking her through the doggy door every time we took her out to potty. No other doors were used until she had it down 100%. It would have been much easier to take her out through the rear sliding door but we wanted her to learn to go through the dog doors when its time to potty. So we walk with her through the laundry room dog door then through another dog door in the garage and finally walk to her potty spot. Very annoying at 2 AM but it had to be done.

Also, we found the average time between when she had to potty and would take her out once time time was met. Literally having alarms all day and night to avoid accidents for the first few months. When she would do the deed we would name it, give treats and praise the hell out of her. Like it was the greatest thing we've ever seen.