feat(api): add server-side caching for requests that could benefit (#3463)

* feat(api): add server-side caching for requests that could benefit for them

* fix(tests): do not cache responses while in tests

* fix: remove commented out leftover code

* chore(deps): update dependency html-webpack-plugin to v5.5.4

* Bundle embedded web app

* fix: remove caching for web app assets under test

* chore(tests): re-enable temporarily disabled test

* chore(deps): update dependency typescript to v5.3.3

* Bundle embedded web app

* chore(deps): update dependency npm to v10.2.5

* Bundle embedded web app

---------

Co-authored-by: renovate[bot] <29139614+renovate[bot]@users.noreply.github.com>
Co-authored-by: Owncast <owncast@owncast.online>

go.sum

@@ -138,6 +138,8 @@ github.com/tklauser/numcpus v0.6.1/go.mod h1:1XfjsgE2zo8GVw7POkMbHENHzVg3GzmoZ9f
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+github.com/victorspringer/http-cache v0.0.0-20231006141456-6446fe59efba h1:+oqDKQIOdkkvro1psUKtI4oH9WBeKkGY2S8h9/lo288=
+github.com/victorspringer/http-cache v0.0.0-20231006141456-6446fe59efba/go.mod h1:D1AD6nlXv7HkIfTVd8ZWK1KQEiXYNy/LbLkx8H9tIQw=
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