As you use alcohol do the automatic functions of the body controlled by the brain like the heartbeat and breathing also become impaired?

Yes they do become impaired

Explanation:

In your heart:

Alcohol acts as a vasodilator and causes the peripheral blood vessels to relax resulting in increased peripheral blood flow and in turn a drop in blood pressure. For the body to keep sufficient blood flow to organs, it increases the heart rate and breathing rate

In the brain:

The alcohol is absorbed in the bloodstream and goes to the nrain where it can cause impaired cognitive function which can cause deterioration in the long term

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