Originally Posted by
Eyes Roll
Any specific Park Tool or other name brand tool recommendations to remove the dust cap?
I can't get started with fixing the bottom bracket without removing the dust caps.

This is one of the very few instances where the vise grips can be recommended, clamp to a nickel or quarter and try to twist them out.
These look like replacement is in order so you could just use whatever to bust them out and then clean the threads well so the arm puller will thread in all the way and get them off if they are stubborn without causing any damage.
Glad you're going all in as it will help you to wrangle many of these challenges as they come up.