How do I see how many days they have left at the inn?

If you go back to the resort page, it should tell you in the drop down for choosing a pet how many days they have left.

[edit]I guess that only works for the resort in Veta though, not the Rathskeller one. In my opinion they should function the same, so it may be worth making a thread in Problems & Bugs or the Suggestions forum about them being different in that regard.

If you go to the resort on Veta (here), you can also see how many days your pet has left in the inn on Port Plunder.

I don't think you can tell at the Rathskellar Inn, only the Lakeside Resort does that. If you go to the bottom action window on the Lakeside Resort and click the dropdown, it will tell you how many days your pet(s) have left as if you were checked into Resort, even though they are not. I dunno if this works if your pets are all only in the Inn though. Worth a try?

OMG. how on earth did I not see that?! LMAO, thanks much 💋

Thanks much guys, helpful as always ❤