Great information Bert, thanks!
Also in my zeal I forgot to mention a few things about the mower that I forgot to mention beforehand. Upon doing some research I remembered that back when the mower originally stopped running the engine would start to try to turn over but wouldn't even make it a full rotation. After a few more tries of this is when the engine seemed to stop trying at all. I tried turning the top by hand to see if it would still spin freely and it would not. It had seized up. Upon doing a little research I learned that usually meant that the compression was making it so that the engine couldn't turn anymore and removing the spark plugs would relieve the pressure and allow the engine to spin freely again. Hence why I ended up just replacing the spark plugs altogether.
In any case, could that be the beginnings of a larger problem down the road or was that likely just due to the battery going bad? Is there a way to prevent the engine from seizing up once the new battery eventually bites the dust?
Also, it seems to only really like to start easily if I set the throttle to full and pull the choke out. That's how I've always had to start it, is that normal or is there a way I can help it start easier and only have to choke when it's flooded? Thanks again for all of ya'lls expertise with this, it's really helping.