You’re going to be hearing from Anthropic’s legal department very, very soon if you use this name.
It's perfectly coherent to be in favour of strong protection of trademarks but also weaker copyright laws. They have very different purposes (broadly, consumer protection as a mark of origin vs incentivising creativity). Just because they're both in the legal category of "IP" doesn't mean it's hypocritical to have very different positions on both.
I'd recommend you change it right away