[llvm] [Github] Remove separate tools checkout from pr-code workflows (PR #159967)

[Aiden Grossman via llvm-commits]

boomanaiden154 wrote:

> LGTM, Do you have test run available to see if it works properly?

https://github.com/llvm/llvm-project/actions/runs/17896422866/job/50883647621?pr=159967

https://github.com/llvm/llvm-project/pull/159967