Specifically, it’s this UI api call [copied out of devtools as curl command and lightly edited for privacy]
curl '<https://werehaus.site/api/flow_runs/filter>' \
-H 'authority: <http://werehaus.site|werehaus.site>' \
-H 'accept: application/json, text/plain, */*' \
-H 'accept-language: en-US,en;q=0.9' \
-H 'content-type: application/json' \
-H 'cookie: logged_out_marketing_header_id=blahblah; _ga=blahblah; _ga_blahblah=blahblahblah' \
-H 'origin: <https://werehaus.site>' \
-H 'referer: <https://werehaus.site/flow-runs>' \
-H 'sec-ch-ua: "Not.A/Brand";v="8", "Chromium";v="114", "Google Chrome";v="114"' \
-H 'sec-ch-ua-mobile: ?0' \
-H 'sec-ch-ua-platform: "macOS"' \
-H 'sec-fetch-dest: empty' \
-H 'sec-fetch-mode: cors' \
-H 'sec-fetch-site: same-origin' \
-H 'user-agent: Mozilla/5.0 (Macintosh; Intel Mac OS X 10_15_7) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/114.0.0.0 Safari/537.36' \
-H 'x-prefect-ui: true' \
--data-raw '{"flow_runs":{"expected_start_time":{"before_":"2023-06-15T06:59:59.999Z","after_":"2023-06-06T07:00:00.000Z"}},"sort":"START_TIME_DESC"}' \
--compressed