How to remove small spurs (branches) from a 'thinned' image?

I've binarized and thinned an image using

bwmorph(image, 'thin', Inf)

However, I'm left with a small spur at the end. The spur forms an intersection (of three branches) which has to be avoided in my case. How to remove it?

Below is the binarized image.

And this is the thinned image. The spur to be removed is mentioned with red mark.

Answer 1

[Tarun Mudgal]

This answer worked for me: https://in.mathworks.com/matlabcentral/answers/88284-remove-the-spurious-edge-of-skeleton#answer_97852

I just added a condition that the distance of the endpoint with the branch should be less than (say) x pixels, then remove it.