Filtering out a specific Gaussian from a signal using Fourier concepts
You can try performing a matched filtering with the gaussian of interest. See the below python code for an example. It is not exactly a work in the Foruer domain, (but can be seen as such) and remove thes noise just leaves the Gaussians. You need to adapt the sigma of your gaussians (i just did some rough trial-and-error here)

signal = np.loadtxt("C:/local/mmatthe/work/sheet1.csv")
t = np.arange(-signal.shape[0]/2, signal.shape[0]/2)
t2 = np.arange(-20, 20)
sigma2 = 10
gauss = lambda t: 1/np.sqrt(2*np.pi)*np.exp(-(t)**2/(2*sigma2))
gauss_samples = gauss(t2)
gauss_samples /= np.sqrt(sum(gauss_samples**2))


plt.figure(figsize=(10, 5))
plt.subplot(1,2,1)
plt.plot(t, signal)
plt.plot(t, gauss(t))


plt.subplot(1,2,2)
plt.plot(np.convolve(gauss_samples, signal));