Remove the semicolons between each .then call.
Promises use a kind of "monadic" pattern: each method on a promise returns another promise, which has the same API. This means you can chain promise methods indefinitely.
So:
fetch()
.then(/* stuff */)
.then(/* more stuff */)
.catch(/* even more stuff */); // <-- this is the only semicolon
The same is true of many Array methods, so you'll often see code like this:
Object.keys( someObj ) // returns an array
.map(/* iterator function */) // Array.map returns an array
.filter(/* iterator function */) // Array.filter returns an array
.sort(/* comparator function */); // Array.sort returns an array
Again, only one semicolon is needed, because each step of the statement produces an array, and JS lets you anticipate that.
If that doesn't help, you might want to post the error you're getting.
I should add that result.json() will throw if the server at http://localhost:3000/show fails to provide the HTTP header Content-Type: application/json. Even if the response body is entirely valid JSON, the HTTPResponse class refuses to do .json() if the server doesn't state that the content is json.
Also, if this code is running in a browser, and is served from a different host (or port), you will need to do CORS stuff. See https://stackoverflow.com/a/48287868/814463 for possible help.