The gun will be fine.......as for sights or bead, pattern it first, then decide. If the gun shoots where you put the bead and you feel confident with it, then sights aren't needed. If it don't pattern exactly where you put the bead and you have to remember to aim high, low, left or right...... you won't. That ol' Tom will be a struttin' out in front of you at 30 yards and you'll put the bead right on his head and you'll miss. That's when most need an adjustable sight. I have killed many turkeys with just a plain bead.....but those are guns that shoot true to the bead or guns that I shot by just lookin down the barrel like bird hunting. I have also taken several birds with guns with adjustable sights.....these are guns that when I patterned them, told me I needed more than the bead.
FWIW...pattern your gun with several different loads to determine which one shoots best from your gun. Don't just use X-Brand because Joe does and they shoot well in his gun or because it had the full page ad in the back of the Turkey Huntin' Annual. . Turkey guns are like women and they all have their own distinct personalities and not all like to be fed the same thing. Once you find the load that consistently puts the most pellets in the kill zone, determine what your maximum realistic range is. This means the maximum range you can consistently put 9-15 pellets in the kill zone. Not 1, or 3, or 8 every once and a while, but 9-15 consistently. Then know this range whenever and wherever you setup. Even after 30 years of Turkey hunting, I will still mark ranges when setting up in a new spot. One of the hardest things in Turkey hunting is knowing when a struttin' turkey is in range.........