I've considered this, but the company is small enough that the number of people who would be on GitHub at any moment (instead of our internal git forge) can be counted on one hand, and when I'm the first one there in the morning it still rate limits me.
Maybe your company's ISP is CGNat'ting you?
Hm, I've also noticed sites being more aggressive about verifications after I started using LLMs locally. They think I'm a bot (which... fair), even on completely unrelated sites I seem to be getting prompted for human verification much more often.
Do you have any on-prem cicd jobs that access github? Our's kept failing, had to move over to the ECR release of some stuff.