[llvm] workflows/release-tasks: Setup FileCheck and not for release-lit (PR #66799)

[Tulio Magno Quites Machado Filho via llvm-commits]

tuliom wrote:

I've just updated the description in order to remove a paragraph that didn't make sense anymore after the reviews and squashed all commits.
I will merge it after the tests get executed and the merge button gets green again.

https://github.com/llvm/llvm-project/pull/66799