I'm not sure about DistroTV, but I was able to create a custom channel for that stream. You can add it via Sources and choosing Custom Channels. Use text as an input, and paste this in. Feel free to edit the channel number to anything you want.
It won't have guide data, but it doesn't seem like this channel really needs any.
#EXTM3U
#EXTINF:-1 channel-id="KLPY" channel-number="4001" tvg-logo="https://i.ibb.co/822JxSK/kaloopy-logo.jpg" tvg-name="KLPY" tvc-guide-title="Kaloopy" tvc-guide-description="The California Lifestyle Channel." tvc-guide-art="https://i.ibb.co/CWGsMJQ/kaloopy-art.jpg",KLPY
https://dai.google.com/linear/hls/pa/event/FK1bjW0AThepH1W7CJrByg/stream/ed03f467-5752-43ed-972d-58d3c4a9fd64:DLS/master.m3u8
Learn more about Custom Channels in our docs: