Manual impact driver. Pretty much an essential tool, and it's the only thing that works reliably well on those.
I've used these impact extractors in the past. https://www.amazon.com/dp/B004QO9FK2/ref=cm_sw_r_cp_apa_glt_fabc_KTHFH2H67MXKNTXR2QYF
But you can also cut the screw of at the base and carefully drill through the screw with a smaller drill bit. You may need to tap the hole after.
But.... Just use the hammer type extractor.
Impact screwdriver. You hit it with a hammer and it turns to the left:
648002 1/2" Dr. Impact Driver Kit https://www.amazon.com/dp/B004QO9FK2/ref=cm_sw_r_cp_api_glt_fabc_3BJS7524YJCDWZG1J7HK?_encoding=UTF8&psc=1
This. Definitely a hammer-style impact driver. Something similar to this 648002 1/2" Dr. Impact Driver Kit https://www.amazon.com/dp/B004QO9FK2/ref=cm_sw_r_cp_apa_i_V1y6CbDD8GZR3
Manual impact driver like one of these
648002 1/2" Dr. Impact Driver Kit
https://www.amazon.com/dp/B004QO9FK2/ref=cm_sw_r_cp_api_i_5YPCFb3S9F62K