Have you spray with products containing copper?
Copper injury and bacterial leave spot are often confused.
https://www.growingproduce.com/fruits/stone-fruit/its-easy-to-misdiagnose-bacterial-spot-on-peaches/.
Another peach leave issue is a shot hole disease which is a fungal disease.
Coryneum Blight (Shothole) | Intermountain Fruit | USU.
I think you have either a shot hole disease or copper injury.
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No copper. For fungus I just periodically use Daconil.
I hope you do not spray Daconil after fruit form.
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That is probably bacterial spot. If you are in eastern zone 7b it is common there.
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