I'm sorry, I made a mistake in my previous response. Here's the updated code:
```python
plt.style.use("Solarize_Light2")
fig, ax = plt.subplots()
ax.plot(austin_weather["MONTH"], austin_weather["MLY-TAVG-NORMAL"])
plt.show()
```
We use `plt.style.use("Solarize_Light2")` to set the plot style to "Solarize_Light2". We then create a new figure and axis using `fig, ax = plt.subplots()`. Finally, we plot the data using `ax.plot(austin_weather["MONTH"], austin_weather["MLY-TAVG-NORMAL"])` and display the plot using `plt.show()`.
To answer your question, you can simply run the above code in a Python environment (e.g. Jupyter Notebook) and the figure will be displayed automatically when you call `plt.show()`.