Pre-push CI check skills

## Problem

I waste time waiting for CI to see it fail on issues like cspell, link check, lint.

We have local commands we can run to check these, but I forget to.

We have no pre-push hooks to enforce running easy static checks and shorten the feedback loop. (particularly for when working on non-sdk code or even docs)

example: https://github.com/Azure/azure-sdk-for-python/pull/47466 (was trying to get the agent to resolve it, but latter commits show many iterations needed)

## Proposal

Wrap locally runnable CI checks in a single CLI/skill and enforce the agent to run it before git pushes or as validation of changes