Intense exercise causes an increase in blood pressure on the small blood vessels in your respiratory system. These blood vessels leak tiny amount of blood, which you can then taste when you exhale.
In a normally healthy person this isn’t a huge concern.
Read more here:
https://wexnermedical.osu.edu/blog/metallic-taste-workout
And here:
https://www.menshealth.com/fitness/a19521687/6-weird-things-that-happen-to-your-body-when-you-run/
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