Over time do the berries grow back

yes but it takes sooooo long unless you get an event that repolinates it.

It seems to replenish at the rate of about 30 berries a cycle...I haven't paid attention to how long a cycle is, but it's the same as how often the crops need to harvest. So yeah, it's not really fast enough if it's your only food source, but they do grow back.

there is another way to get new berries, but i wish not to spoil it for you

i know its an event i havnt had

Also as an after-effect of one of the puzzles.