[Python] How to install uv when I already need an virtual environment to install it?

I want to set up a new Python project and use uv for package management. I don't have it installed on my global system, so I can't initialize an virtual env with

uv venv


The only solution I see now is to install uv venv on my system through sudo install astral-uv. Isn't this a chicken-egg-problem? How do you do it?

It feels wrong to install the package on my system instead of the virtual env.

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