Adding to @pela's answer above:
The question of the OP assumes that if the light is there, we can observe it. But in fact, light from the era of the first stars will become increasingly redshifted towards infinite wavelengths and zero energy and thus be very hard, if not impossible, to observe.
The limit for how far away we can see light emitted at $t=0$ expands forever as @pela states above, this is correct. But the time span from $t=0$ to the accelerating expansion of the Universe takes an object across the event horizon -- the time after which we can no longer receive information from the object -- is also getting shorter for more and more distant regions. That is, we can see larger and larger parts of Space, but we can see smaller parts of their life span as we go farther away. At some point, these regions will cross the event horizon before the firsts stars have formed, and we will never see light from the first stars there.
Of course, light from the era of first stars just inside this limit will keep coming to us forever, just increasingly redshifted towards infinity. At some point, its wavelengths will be so long and its energy so low that it becomes impossible to observe. But it will of course still be there.