Replace deprecated set-output command

[obulat]

Fixes

Fixes #1937 by @obulat

Description

This PR replaces the outdated set-output command with the recommended value: https://github.blog/changelog/2022-10-11-github-actions-deprecating-save-state-and-set-output-commands

Testing Instructions

The CI should work

Checklist

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[github-actions]

Storybook and Tailwind configuration previews: Ready

Storybook: https://wordpress.github.io/openverse-frontend/_preview/1940
Tailwind: https://wordpress.github.io/openverse-frontend/_preview/1940/tailwind

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[zackkrida]

LGTM!

[krysal]

LGTM! The failing tests seems to be an unrelated thing.