Bulk symbol rotation about own axis

In short, as it says in the title, I'm looking to rotate about 300 symbols (mostly mountains) in place by 45 deg so that they line up with the new orientation of my map

I am relatively new to CC - building an overland map and got a fair way along my first "major" map when I realised that the orientation didn't make sense ( there was a snowy region at the same latitude as a tropical rainforest) and so I needed to rotate by about 45 deg to make sense.
To start with I just rotated the compass rose but it's for a campaign so I'm going to end up with a dozen-odd maps based off this one so I either run them all with north at 45deg, try and bodge distances a bit without an aligned grid to work off or rotate this map which is easy enough but ends with all the symbols in the wrong orientation.

Basically, I'm looking for a tool to rotate many symbols at once, each around their own origin point

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