I’ll make a quick assumption. There ARE people who use long sporting shotguns for home defense, and there are people who think bird and skeet loads are useful for home defense (they aren’t DON’T!), there’s a strong chance that this isn’t a home defense gun, and a better chance that its just a hunting gun that was either intentionally left loaded, or never properly cleared for storage.Here is the caveat, the lighter your projectile the closer you need to be to your target to do damage. If all you have birdshot or skeet loads in your pump gun then you literally, not figuratively, shove the muzzle of your shotgun against skin to get decent terminal ballistics. The thing about fires is that if you aren't achieving the effect you desire, just use more.
There are much better choices than light shot for home defense, but if you find yourself needing to stop someone NOW with what you have on hand, pull the trigger and pump the action as fast as you can while advancing on the intruder. You need to close the distance to make your fires effective. Be AGGRESSIVE enough, FAST enough, and you'll live through it. If you run out of rounds on the way in, BUTT STROKE the bad guy to the head, kick him in the guts, use the empty shotgun like a baseball bat and start wailing on the perp with all your might.
If you end up shoving the muzzle of your shotgun into a hole opened up by a previous shot then so be it. Point blank range starts at the muzzle, and while firearms are a good way to gain space, sometimes you have to close space to gain an advantage. Better to be showering off someones guts later than a statistic.
Unlike Joan Peterson, I don't advocate for the rights of criminals to have a safe working environment. Identify the threat (positive identification, know what you need to do) and then eliminate the threat. Just cause you don't have buckshot or slugs in your bird gun is no excuse to abdicate your duty to protect yourself and your loved ones.