I have found Tazo tends to be milder in flavor than most of the nicer loose-leaf chai blends I've purchased. I also got some Stash chai teabags that tasted very similar to Tazo. My own preference is for spicier more robust chai, so I wasn't too impressed with either Tazo or Stash.
If you're adventurous, you might try blending your own. I have done so with very good results... basic loose-leaf black tea of your choice, and then a blend of your own preference of spices. There are lots of blending recipes online, and it would enable you to adjust the cardamom to your own taste. I originally made my own because I wanted more peppery taste... so I added cracked black peppercorns and crushed cayenne... and cut back on the cloves, which are not my favorite flavor... used some cardamom, allspice, a couple of cloves, cinnamon sticks, etc. If you like to dabble in the kitchen, it's a fun project. And even sealed up in a ziplock, it smells up my whole pantry now. So if you don't enjoy the flavor, you can use it for homemade potpourri!