I am confused by your terminology. What is a dual switch? And then you say there is another switch that controls both of them?

Are there 2 switches in one box and only one of those switches control the 2 fixtures? And that switch is a 3-way switch that is also wired to the other switch by the door that is also a 3-way switch, that is how 3-way switches work.

My house was built in 2006 and required 3 conductor wires for ceiling fans so there would be separate switches for fan and light, mine only use one as we have remotes, but the wires are there. See if you have 3-conductor wire at either of those switches - black, red, and white. If you have that you may be able to rewire, and replace switches so each switch only controls one fixture.

So if you have 3-conductor to the fan, you could use the black to feed the ceiling fan and use the remote to switch light/fan. Then use the red conductor, reconnected to only provide power as it bypasses the fan, to feed the other light.