Claude isn't. It's a tool, that isn't capable of signing a contract any more that Adobe Acrobat or Photoshop is.
OP used it as a tool to sign the contract. The question would be whether they did so knowingly and intentionally, if not then whether that invalidates the contract.
Incorrect. Claude.is far more capable. E.g. it found and applied the sig without user knowledge.
I could write dozen lines of bash that finds for PDFs, pastes an image into them and emails it to someone. That doesn't mean that bash can sign contracts.
But also, you can’t ToS your way out of criminal responsibility. If OpenAnthro Corp. offered services of human agents (remember those?!) and one of their agents committed a crime while working on a client request, no ToS in the world would exonerate them.