As other said, client browser need a request to know that the data has been updated. Here's some solutions I would look into in your case:
Server-side cache (data still need to be network transferred):
depending on your environment, I would set up an Nginx + FastCGI cache using a "stale and update" policy. So the cache is always served (fast), and the cache is always refreshed. So only a few requests (one, or more depending on time to refresh cache) after code update are served with outdated data. This cache is URL-based, so if your content is cookie/session-based it can become tricky.
as @ZachRobichaud said, you can use the Laravel cache and set up a low cache retention time. Let's say 10s, which means the request will be outdated for 10s max after your content update. I'm not aware of a "stale and update" way on laravel, but it can be done with queues.
Client-side cache (no data transfer needed):
as I said, the client needs to know the data has been updated to invalidate the cache.
Usually for assets, we do "cache bursting" by adding GET parameters to the file URL. Like 'asset?version=1234with version changing for each deployment. As header cache is URL (and header) based, URL change will force network loading of files. Not tested with text/HTML content-type response, but worth a try if you can update URLs with a parameter you can change in
.env` as example. Can be done dynamically if you have a CD/CI or thins you can trigger on deploy. In this case, you can "infinite" cache those as the "refresh" will be done by changing the URL parameter.
You can take a look at stale-while-revalidate
Cache-Control
header value that seems to work the same: always serve cache, and refresh cache if expired (also look at other parameters, can give you ideas). Careful about compatibility on this (no IE or Safari).
The Laravel Cache may be the fastest to implement and test, and see if the results suit you. It depends on the payload size also, if it's huge, browser cache is indeed better. If bandwidth is not the issue, it's mostly server response time: in this case, Laravel Cache would do the trick.