It is generally accepted that 6ft/2m is the maximum height of a boundary fence. I there think you can replace the lelandi with a 6ft high fence without any adverse issues to your neighbour.
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As far as I can see the 6ft/2m rule applies.
The maximum eaves height of a garage is 2.5 metres if it is within 2 metres of the property boundary.
As stated, the max height of a fence is 2 metres (6ft).