Q.Persian Limes
Why are our Persian limes orange and seedy inside? The 5′ tree was recently planted and was covered in fruit. Much of it was over ripe (yellow/orange skins), but when we cut into several smaller green ones, they were also orange inside. Should we pull all the fruit off and wait for a new crop (new blossoms) or do we have a weird tree?
Persian Limes can actually be quite yellow when they are ripe.
With that said, I think you may actually have a Mandarin Lime tree.
Here is some links to help you.
https://www.gardeningknowhow.com/edible/fruits/mandarin-lime-trees/growing-mandarin-limes.htm
https://www.gardeningknowhow.com/edible/fruits/lime/persian-lime-tree-care.htm
https://www.gardeningknowhow.com/edible/fruits/lime/lime-tree-harvest-time-when-to-pick-a-lime-from-a-tree.htm