Bear paw succulent
Thank you for your question about your bear paw succulent. The Cotelydon tomentosa is an easy plant to grow, but overwatering will cause the condition you're observing. These plants are native to South Africa, and grows in rocky areas and well-draining soil, so their roots don't stay wet. So, you probably are watering too often. The 'soggy' stems won't dry out, since they're dying. Take them off and dispose of them, lest the tissue harbor some fungi that are harmful to the plant.
To give you some other growing tips, here's a link to a short article on succulent care. Hope it's helpful. Good luck!