Here's a reasonably recent overview of website end-to-end test automation tooling: https://www.testim.io/blog/puppeteer-selenium-playwright-cypress-how-to-choose/ (presentation https://www.youtube.com/watch?v=JuSF6BDs7Ow).
End-to-end should mean that the test interacts with the Dispatch web console by sending clicks to the browser window. The clicks are targeted using CSS-like selectors (often button/link texts and aria selector), and they are dispatched through browser debug protocol, so it is not exactly simulating the user, but it is simulating the user to a very great degree. The advantage of doing the clicks this way is obviously maintainability; if a link moves 10 px to the left, it will still be clicked just fine.
I considered Selenium with Python and Pytest, Selenium with Java and Junit, and Playwright with Typescript.
Selenium Webdriver is old and well-known. Playwright is more recent iteration on the same theme, and it has nice test framework in TypeScript on top.
Both PlayWright and Selenium can run with headless browsers in Docker container.
For reverence, my tests from 2017 in Webdriver, Python binding, written for the Hawt.io Dispatch plugin, https://github.com/jirkadanek/dispatch-console-tests.
I personally feel a deep dislike towards Cypress, but I have no factual basis for it, and in fact the tooling and the supporting documentation and some of the debugging features seem excellent https://github.com/muratkeremozcan/playwright-vs-cypress#readme.