Help removing Hornady LNL AP drive hub screw

I need help from the Bullseye-L hive mind.

The tab on my Hornady LNL AP drive hub snapped off. (Part #29 on page 4 of the Hornady manual: https://press.hornady.com/assets/pcthumbs/tmp/1410991948-Lock-N-Load---AP----Press-Instructions1515698795.pdf ) I called Hornady, and they sent me a new drive hub as well as the two screws that hold it in place. (Part #35 in the same diagram, i.e., two FHCS screws at 1/4-28 X 3/8 ).

In removing the old screws, the left one came out with much difficulty using a ratchet. The right one stripped out completely. Hornady then recommended a stripped-screw removal set. I’ve now gone through three such sets. Each drill bit and remover bit is broken in half each time. My first 3/8 inch drill even smoked to the point of failure before I switched to my second, larger 1/4 inch drill.

Do I need to send the press back to Hornady to remove a single screw, or is there some trick I’m missing to get the job done? Many thanks in advance!

Here’s the screw: https://i.servimg.com/u/f49/19/94/71/64/8c1f1c10.jpg

Maybe a reverse twist drill and then a good soak with penetrating oil then try again.  What a pain in the backside.  https://www.amazon.com/Tools-Cobalt-64-Inch-Assortment-30520/dp/B0002NYBJG

Try one of these.  They may be available at Home Depot or Lowe’s.  Follow the directions.  I use them for rusted Phillips screws.

https://www.amazon.com/Magimous-Damaged-Screw-Remover-Extractor/dp/B01NGTLM40/ref=asc_df_B01NGTLM40/?tag=hyprod-20&linkCode=df0&hvadid=198092200243&hvpos=1o2&hvnetw=g&hvrand=992908913099427985&hvpone=&hvptwo=&hvqmt=&hvdev=t&hvdvcmdl=&hvlocint=&hvlocphy=9061211&hvtargid=pla-318198613386&psc=1

Thanks, all. I've ordered some new bits and will try again when they come in. Hornady was nice enough to offer to fix it for free, but I don't really want to do that unless I have to.