Downsampling continuous variable to uniform distribution

Given a distribution, let's say, a gaussian:

import pandas as pd
import numpy as np

gaussian_distribution = np.random.normal(0,1,10_000)

This sample looks like this:

What I want to do is to resample this distribution to somehow get a uniform distribution, so:

Pr(X) = Pr(X+W)

I am not worried with ending with n < 10_000, I just want to remove the distribution peak.

I read something about interpolating a distribution on this one, but I could not figure it out how this works.

from Downsampling continuous variable to uniform distribution