Vendor resolvelib 1.1.0

[notatallshaw]

Fixes #12768
Fixes #12317
Fixes #12305
Fixes #12497

Draft PR of resolvelib beta to see if it passes tests. Will mark as ready to review and ask for review/merge when final is ready.

[notatallshaw]

So I checked how resolution performed using https://github.com/notatallshaw/Pip-Resolution-Scenarios-and-Benchmarks, and I have good news and bad news.

Firstly, as expected, due to correctness fixes #12768 and #12317 resolve instead of showing ResolutionImpossible.

Some unexpected good news is this resolves #12305.

Some slightly bad news is this turns #12990 from a Build Failure to a ResolutionTooDeep, but this can be fixed if #13017 lands.

Some worse news is that the requirements in astral-sh/uv#1398 go from resolving (after some time), to ResolutionTooDeep, and I don't have an immediate optimization to fix this. It will require deeper investigation, but I don't think that should stop pip from vendoring resolvelib as it fixes correctness errors and other cases that do produce ResolutionTooDeep.