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I think this is a mulberry leaf. Wild grape leaves and figs can look similar, but the pattern of toothing here looks like a mulberry to me.
If it is a mulberry, it will be growing on a tree, and there might be leaves with different shapes on the same tree.

Mulberries are ridiculously hardy trees. You can prune them any time, however I do recommend pruning in spring in your area. As long as it isn't hot or dry, you will have good results with pruning.

Mulberries are insanely fast, and vigorous. What you are experiencing is likely something that a bird or other pest is doing. These trees are rather hardy, and I do not believe it to be in any danger. the tree will give you definite signs of distress when it isn't doing well. It will likely recover, though. I see no reason to worry here.

As the tree gets older, sometimes it is necessary to prune the trees older branches off. Older branches can start to break off over time. Here is an article that will help:

https://www.gardeningknowhow.com/ornamental/trees/fruitless-mulberry/how-to-prune-a-mulberry-tree.htm

There are a few things you can do to ensure the tree will come back bbigger than before, but I would not recommend them to anyone who hasn't any previous chemical knowledge. These chemicals are very harsh, and carcinogenic. Now on the bright side, these trees have been known to make some pretty astounding comebacks. Keep the area watered, and you may or may not see new growth. I would say that you will see something start poking out soon.

Here is an article showing how to prune them, and that even a heavily pruned tree can recover: https://www.gardeningknowhow.com/ornamental/trees/fruitless-mulberry/how-to-prune-a-mulberry-tree.htm

This problem isn't the easiest to correct, as you must first find the cause. There are a few things that will cause this, typically.

When the tree gets hot, it can do this in an attempt to "breathe" better. This case is hard to correct, but these hardy trees.

This can also occur when the tree gets too wet, as an attempt to "breathe" more as a means of removing moisture faster.

Last, it can be common with mulberries in full sun. They are, actually partial shade tolerant, and enjoy a few hours of shade during the middle of the day.

Here is an article to give you more information on growing these trees: https://www.gardeningknowhow.com/ornamental/trees/fruitless-mulberry/how-to-grow-mulberry-trees.htm