Trees and bushes around a man-made pond?

Hello! This is my first time posting here although I've been reading for several months. I am an experienced gardener but relatively new to permaculture.

My three questions for the group are about the large, man-made, earthen-bottom stocked pond on our property.

1. The previous owner allowed a river birch tree to grow along the bank right at the shoreline. I have read on this forum that trees' roots can cause ponds to leak and that rotting roots from cut-down trees can also cause ponds to leak. So my question is should we cut this tree down or leave it? Which is more likely to damage the pond? At present, the pond does not appear to leak.

2. How far away from the pond should trees be planted? Could I plant a dwarf apple tree about ten feet from the pond?

3. I planted a few blueberry bushes about three feet from the shore. Will blueberry bush roots also damage a pond and cause it to leak or are shrubs generally okay to have along the edge?

Thank you for any insight!

Here is a picture of the pond with the river birch on the right side:

It seems to me the only reason any tree or bush might cause a leak is if there is a layer of clay sealing the bottom (but the lower soil is porous)
In that case, roots could penetrate the clay and leave holes when the roots rot away.

So MAYBE the birch could be a problem some time in the future if the sealing layer of the pond is thin enough.
As for blueberry plants 4-5 feet away I would not worry about. If tiny feeder roots of those managed to penetrate the clay, I think the clay would be able to reseal itself
when the roots rot away eventually.

My opinions.

Another case may be trees/shrubs on the dam of a pond. Is that what you read about?

I was told that when the tree flexes in the wind this allows water to migrate along the root paths expanding the water migration (and making the tree flex more) eventually causing a leak. Cut it down before the leak begins.
In your case the tree appears to be on the high side of the pond, not the "dam" side. May not be an issue for you.

Thank you for the replies!

I am not sure if the bottom is sealed with clay since the pond was built by the previous owner. Our soil naturally has a lot of clay in it.

I'm also not sure what is meant by the term " the dam" of the pond. I'm a pond newbie and just learning how to care for the pond properly.

I think to be in the safe side we will cut the tree down and use it for firewood instead. I'd rather put a lot more blueberry bushes around the perimeter anyway!

Thank you again for the responses!