I found a way. I don't know if it's the easiest or not. Flickr just made it much harder to find the direct image link is all. It's actually good for security purposes, but I digress.
Right click on a photo. Hit "View Selection Source". A small popup will appear with a string of highlighted code. At the top menu, click "Edit" then "Copy". Then click the image button on the Wrongplanet tab and copy it into the box (or type the image tags manually, whatever you are used to). This is the hard part. You have to delete the extra text until just the image link is left. The The image link will start with https and end with something like .jpg .png depending on what file type the image is. And of course, don't forget to erase the "s" from https.
I did this with Firefox, but will test it with Chrome in a min.
EDIT: This method doesn't work in Chrome, but I found another way.
When you have a picture open, to the left, there is an icon of 3 small circles in a row under the thumbnails of the next pictures. Click that, then click "Download / All sizes" Then click "View all sizes" Then you can right click and "copy image location" as normal.
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