Because the whole reason why stars appear to get dimmer is that our eyes can't resolve their size. When two stars are close enough in our visual plane to be unresolvable as two distinct points, then the same thing happens. Just like our eyes couldn't resolve the size of distant sources and thus just makes them appear dimmer instead of smaller, two arbitrarily close points, when our eyes can't resolve them as separate points, the apparent brightness is additive between the two stars individual brightness.
If you can't get this, I am just done. This is a well understood concept, and I am telling you that it is true, in various astronomy texts
here is just one link that talks about double (or more) stars, and why they look brighter. it's estimated that up to 50% of the visible stars in our universe are actually multiple stars combining their brightness to increase their visibility.
Fun with double and variable stars - Astronomy Magazine