I have a few broken garden clay pots that I don't want to throw away.

Use them for mini gardens. Or break up further and use as hole guards in other potted plants.

Here are some clever ideas:

https://www.bobvila.com/articles/repurpose-broken-pots/

https://plantcaretoday.com/5-ideas-on-how-to-repurpose-broken-terra-cotta-pots.html

Oh, my. Have you seen the herb gardens Hometalkers have made from stacked, broken clay pots? The pots are glued together at angles with E6000, one above another. Then they are filled with potting soil and herbs or flowers. They appear to be easy to water and care for. I think a wire take through the drain holes would add stability. And I think multi-colored or natural pots would all be pretty. Best wishes! ☺️

https://www.hometalk.com/diy/outdoor/garden/fairy-garden-14394905?r=2

Take the broken pcs. and work them into your flower beds. You can make them look like flowers are growing out them, turn them on the sides that are broken and make it look like flowers are growing out of them like they are spilling out of the pot. Have fun with them.