Alex
Follow my procedure
You will need Stellarium on your laptop ( it’s a free download ) Set Stellarium to the correct time and date as your laptop ( laptop time should be correct if updated on line )
Open Stellarium, drag the screen across to the North meridian line , on the Stellarium time clock manually forward time to 11.55am , click on the Sun , a window appears in the top left corner ( see photo ) look at Az Alt data counting down towards 0 deg , once it hits 0 deg, mark your time on your smartphone , look at Stellarium , the sun should be crossing in the centre of the north south meridian line or North South Celestial Pole line ( see photo )
As it’s winter the sun is quite low , so your shadow on the dowel will be very short , this method still works in winter but obviously more accurate in Summer
Hope the above makes sense ( photos help )
Cheers
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