If you are discussing a regular occurrence every morning, it is almost correct . It should probably be "to the park" instead of "in the park." (On the other hand, if you are speaking of an event held each morning in the park that you attend, say, a Sunrise English Class, then you might indeed "go in the park.")
It would also be a bit smoother if you finished the "where you go" part of the sentence before you injected the company you keep and the time factors of your visit. That is to say, I would suggest a phrase order of "I go to the park with my friends ..."
If you are discussing your intention to join your friends tomorrow morning, then it would be "I will go to the park ..."
I might also add that, as you have indicated the time as AM (before noon), you need not say that you go in the morning. You might omit that, or the AM; to have both is redundant.
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