Gods may be incomparably powerful, but they are not omnipotent, especially demigods. Though they have ignited the Divine Fire and possess Godhood, they have not condensed a Divine Grid and are not true gods.
Fighting across different planes is basically impossible, but that doesn't mean there aren't solutions.
Take sacrifice, for instance, using the bloodlines and souls of living beings to condense Divine Power or descend across planes is a relatively common method.
Even the ancient gods did so, as did the Nightmare God, and naturally, this so-called Dragon god follows suit.
Even though ancient gods are descending upon various planes at this moment, no demigod dares to do so in The Ancient God World at this stage.
It's important to know that those minor planes cannot produce true deities due to various reasons; demigods are their pinnacle.
What defines a main plane? Apart from containing a Star Soul, another key characteristic is its ability to give birth to various deities.