I'm not sure how they're rendering in the browser. But if the TUI is rendered to DOM elements and not canvas/webgl, perhaps it could be useful to use a browser automation tool like Playwright to run test suites against the TUI. If your project involves CLIs and web apps interacting with one another, you could exercise them and assert their behavior within the same test framework.
Jeez that's a big paint brush you're slinging around.
That's the problem when non-front-end guys make decisions about tech sometimes, they choose stuff that seems easy to integrate without caring about things like accessibility, design scalability, client device capabilities, etc.
I became George after comedian Aziz Ansari had bit on one of his Netflix specials where he does math on how many times you can expect to see your parents.