In a multiple star system, including a double star system, the stars have to orbit one another. Which means that their relative positions are constantly changing. The planet will also have to orbit one of the stars, or two of the stars. As the planet's position changes relative to one star, that will change the relative positions of the two stars in the sky of the planet.
In a multiple star system, it is relatively easy to create a set up where the two stars are in a specific relative position in the sky for months or years at a time. It is less easy for the two stars to have the same relative position in the sky for decades at a time, less easy for them to have the same relative position for centuries at a time, and less easy for them to have the same relative position for millennia at a time.
In Isaac Asimov's short story "Nightfall" which was later expanded into a novel, the planet Kalgash has eterrnal day for thousands of years at a time.
See here: https://planetplanet.net/2018/02/02/real-life-sci-fi-world-11-kalgash-a-planet-in-permanent-daytime-from-asimovs-nightfall/1
and here: https://planetplanet.net/2018/03/21/asimov-kalgash-take2/ 2
For attempts to make a realistic solar system where a planet could have eternal daylight.
AS you can see, the fact that the stars in a multiple star system orbit and move relative to each other make it very hard to create an eternal arrangement of the stars in the system.
The known orbital periods of stars in binary system range from minutes in very close binaries to hours, days, months, years, decades, centuries, millennia, and possibly for hundreds of thousands of years.
There are no known examples of binaries with orbits long enough that the two stars would have had essentially the same relative position for billions of years necessary for intelligent life to develop on a planet.
Unless it is possible for a habitable planet to orbit in a Trojan orbit relative to two stars. But in that case the two stars would be only 60 degrees apart in the sky of the planet, and thus would often be seen in the sky at the same time.
So maybe you could have your planet orbit around a single star, and chance factors as the stars in their galaxy orbit around the center of their galaxy causes another star to pass very close to your planet's star for tens or hundreds of thousands of years.
And the star passing nearby might be a lot hotter than your planet's star, and so emit a lot of very bright blinding light as well as invisible ultra violent ultraviolet light that lifeforms on the planet are not adapted to face. So the animals and people on your planet have to change their lifestyles and hide underground, or inside, or under shade trees, or cover up with clothing, when that nearby bright star is overhead, whether that is in the day or the night of the planet's own star.
This article has a list of the calculated closest past and future stars to Earth over several million years, though a passage a lot closer would be necessary for your story.
It is quite possible that in your story the passing star is not yet at its closest and the future closest approach will be deadly.