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How to make a stacking list of tags

This is really basic but its stumping me. I’m trying to create a list of tags to filter a CMS. The tags themself are pulled from another CMS. I want them to all only be one text line tall, and then overflow in a line underneath. Right now the individual tags will overflow if they are two words.

Here’s my site:

Besides from some formatting issues, I suggest making adjustments to font and padding for an immediate solution.