Develop an opt-in GH action to perform checks with the stack

[slinkydeveloper]

Describe the feature

Add a GH feature that on every pull request including a dependency bump, performs the check with the stack for the dependency conflicts.

Use cases

Every time we have a dependency bump with an external dep, we should perform a check with the stack to see if there are any conflicts. This is a time consuming operation we perform manually today. Automating can at least allow us to easily recognize if the dep update is breaking something or not.