Upgrade websockets.legacy usage

[cicdw]

Describe the current behavior

Currently we rely on imported objects from websockets.legacy which is deprecated (as can be seen here, for example: https://github.com/PrefectHQ/prefect/actions/runs/13147657643/job/36689175326?pr=16972).

Describe the proposed behavior

We need to plan to move to the newer asyncio implementation following the guidelines outlined here. We believe this should be straightforward as we don't rely on anything deep cut, but opening this issue to track so we don't get caught off guard with an upgrade.

Example Use

No response

Additional context

No response