Remove unused `AsyncHooksContextManager`

[dyladan]

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          Also consider remove `AsyncHooksContextManager` because it will no longer be used.

Originally posted by @dyladan in https://github.com/open-telemetry/opentelemetry-js/issues/3720#issuecomment-1823194259

No longer used in SDK 2.0 so it can be safely removed.

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[pichlermarc]

@dyladan I'm currently refining issues, one question:

• should we rename the package @opentelemetry/context-async-hooks to @opentelemetry/context-async-local-storage as it'll be the only context manager that's left in that package?

If yes, then I think we can break this down into multiple subtasks:

• [ ] change all usages of AsyncHooksContextManager to AsyncLocalStorageContextManager
• [ ] PENDING: rename package to @opentelemetry/context-async-local-storage
• [ ] integrate abstract base AbstractAsyncHooksContextManager into AsyncLocalStorageContextManager

[dyladan]

Actually if we're going to do a rename we might be able to do this without breaking. I didn't even think of that. Do you think context-async-local-storage or context-node?

[pichlermarc]

Actually if we're going to do a rename we might be able to do this without breaking. I didn't even think of that. Do you think context-async-local-storage or context-node?

I think @opentelemetry/context-node may work.

So we'd do this:

• [ ] create a new package @opentelemetry/context-node
• [ ] copy AsyncLocalStorageContextManager to @opentelemetry/context-node and integrate the Abstract Base into that class
• [ ] deprecate everything in @opentelemetry/context-async-hooks, refer to @opentelemetry/context-node and that it is the new one
• [ ] deprecate @opentelemetry/context-async-hooks in NPM and remove the package from the repo

Then no tasks are left that are actually breaking and we can remove this issue from the milestone. WDYT @dyladan? If you agree then I'll create issues for the sub-tasks for contributors to pick up. Should be fairly easy tasks.