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Description
Since we are working towards utilizing ruff and ty from Astral in #589 and #585, it would be better to completely migrate towards the entire toolchain.
uv is designed to replace pip, poetry, virtualenv, etc. For more, see https://docs.astral.sh/uv/
Note that this also requires updating the various CI/CD workflows in .github/workflows. Once this project relies on uv, we also want to ensure the readme, installation, and contributing guides in the documentation are updated accordingly.