refactor(core): stabilize studio usage of actions API

[bjoerge]

Description

This stabilizes internal usage of the http actions API by changing from using client.request(…) to instead use client methods introduced by sanity-io/client#818. The change should be transparent to end-users.

What to review

• The actions API is enabled for our test studio in the preview build, and everything should work as before here: https://test-studio-git-sdx-1232-stabilize-actions-api-usage.sanity.build/

Testing

We should have pretty good test coverage on this already.

Notes for release

n/a

[vercel]

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Name	Status	Preview	Comments	Updated (UTC)
page-building-studio	✅ Ready (Inspect)	Visit Preview	💬 Add feedback	May 29, 2024 11:39am
performance-studio	✅ Ready (Inspect)	Visit Preview	💬 Add feedback	May 29, 2024 11:39am
test-next-studio	✅ Ready (Inspect)	Visit Preview	💬 Add feedback	May 29, 2024 11:39am
test-studio	✅ Ready (Inspect)	Visit Preview	💬 Add feedback	May 29, 2024 11:39am

1 Ignored Deployment

Name	Status	Preview	Comments	Updated (UTC)
studio-workshop	⬜️ Ignored (Inspect)	Visit Preview		May 29, 2024 11:39am

[github-actions]

No changes to documentation

[github-actions]

Component Testing Report Updated May 29, 2024 11:40 AM (UTC)

File	Status	Duration	Passed	Skipped	Failed
comments/CommentInput.spec.tsx	✅ Passed (Inspect)	35s	15	0	0
formBuilder/ArrayInput.spec.tsx	✅ Passed (Inspect)	7s	3	0	0
formBuilder/inputs/PortableText/Annotations.spec.tsx	✅ Passed (Inspect)	26s	6	0	0
formBuilder/inputs/PortableText/copyPaste/CopyPaste.spec.tsx	✅ Passed (Inspect)	31s	11	7	0
formBuilder/inputs/PortableText/Decorators.spec.tsx	✅ Passed (Inspect)	14s	6	0	0
formBuilder/inputs/PortableText/DisableFocusAndUnset.spec.tsx	✅ Passed (Inspect)	8s	3	0	0
formBuilder/inputs/PortableText/FocusTracking.spec.tsx	✅ Passed (Inspect)	36s	15	0	0
formBuilder/inputs/PortableText/Input.spec.tsx	✅ Passed (Inspect)	1m 17s	20	0	0
formBuilder/inputs/PortableText/ObjectBlock.spec.tsx	✅ Passed (Inspect)	1m 4s	18	0	0
formBuilder/inputs/PortableText/PresenceCursors.spec.tsx	✅ Passed (Inspect)	7s	3	9	0
formBuilder/inputs/PortableText/RangeDecoration.spec.tsx	✅ Passed (Inspect)	21s	9	0	0
formBuilder/inputs/PortableText/Styles.spec.tsx	✅ Passed (Inspect)	15s	6	0	0
formBuilder/inputs/PortableText/Toolbar.spec.tsx	✅ Passed (Inspect)	30s	12	0	0