Why does my "entropy generation" RNN do so badly?

I’m new to relatively RNNs, and I’m trying to train generative and guessing neural networks to produce sequences of real numbers that look random. My architecture looks like this (each "circle" in the output is the adverserial network’s guess for the generated circle vertically below it — having seen only the terms before it):

Note that the adverserial network is rewarded for predicting outputs close to the true values, i.e. the loss function looks like tf.math.reduce_max((sequence - predictions) ** 2) (I have also tried reduce_mean).

I don’t know if there’s something obviously wrong with my architecture, but when I try to train this network (and I’ve added a reasonable number of layers), it doesn’t really work very well.

• Colab Notebook

If you look at the result of the last code block, you’ll see that my generative neural network produces things like

• [0.9907787, 0.9907827, 0.9907827, 0.9907827, 0.9907827, 0.9907827, 0.9907827, 0.9907827, 0.9907827, 0.9907827]

But it could easily improve itself by simply training to jump around more, since you’ll observe that the adverserial network also predicts numbers very close to the given number (even when the sequence it is given to predict is one that jumps around a lot!).

What am I doing wrong?