Apple Watch Series 1 Swelling

My mom got an Apple Watch Series 1 around 2016 and in around 2021, the battery swelled up, causing the screen to pop off. I found the watch again yesterday, and I realized that when you are charging it, the screen only works for certain commands. For example, if you hold the side button, the power off screen will appear. And when charging, the charging sign will appear. However, nothing else seems to work, showing only a black/blank screen.

I know that the battery is swolen, but I don't want to replace it. So is there anything that I can do to make the screen work again? I'm fine with the screen being popped off (that's not really an issue imo), I just want to know if there's a way to still make the rest of the commands work again with the swolen battery.

I'm also assuming the watch is definitely out of warranty, so how much would the estimated cost be to repair it?