Painting - Paint over stained (varnish) ceiling

Hi.

We recently had a box light fixture removed from our kitchen ceiling (and had can lights installed).
The challenge is where the box light was (popcorn style ceiling) is a rectangular patch of un-painted popcorn. The best part is the builder applied the varnish or lacquer finish to the box light when it was hung, aka there is lacquer/polyurethane finish on the ceiling - a fairy sizeable amount. I am not sure if it was lacquer or varnish or whatever. The box fixture was a litel bit darker than the honey-oak finish on the kitchen cabinets.

How do I paint over this? Can I just prime it (2 coats) and paint it (By the way, we use Behr flat white paint for the ceiling)?
Do I have to remove the popcorn and re-apply (never done that)?

All advice/replies/assistance are welcome.

Thanks.

I would prime it with Zinsser 123, or its equivalent, and a coat of paint; and see if it works. It will be simpler than removing the popcorn and trying to match it.

The Zinsser will stick to the slick finish on the popcorn.

Hope this helps.