fix: only flush app settings when updating app settings

[nicholasio]

Description of the Change

This is a follow up of #891

How to test the Change

Changelog Entry

Added - New feature
Changed - Existing functionality
Deprecated - Soon-to-be removed feature
Removed - Feature
Fixed - Bug fix
Security - Vulnerability
Developer - Non-functional update

Credits

Props @username, @username2, ...

Checklist:

• I agree to follow this project's Code of Conduct.
• I have updated the documentation accordingly.
• I have added Critical Flows, Test Cases, and/or End-to-End Tests to cover my change.
• All new and existing tests pass.

[changeset-bot]

🦋 Changeset detected

Latest commit: cff7836

The changes in this PR will be included in the next version bump.

This PR includes changesets to release 1 package

Name	Type
@headstartwp/headstartwp	Patch

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The latest updates on your projects. Learn more about Vercel for Git ↗︎

Name	Status	Preview	Comments	Updated (UTC)
headstartwp-app-router	❌ Failed (Inspect)			Apr 9, 2025 9:25pm
headstarwp	🔄 Building (Inspect)	Visit Preview	💬 Add feedback	Apr 9, 2025 9:25pm

[github-actions]

📦 Next.js Bundle Analysis for @10up/wp-nextjs-app

This analysis was generated by the Next.js Bundle Analysis action. 🤖

🎉 Global Bundle Size Decreased

Page	Size (compressed)
global	81.74 KB (🟢 -42.23 KB)

Details

The global bundle is the javascript bundle that loads alongside every page. It is in its own category because its impact is much higher - an increase to its size means that every page on your website loads slower, and a decrease means every page loads faster.

Any third party scripts you have added directly to your app using the <script> tag are not accounted for in this analysis

If you want further insight into what is behind the changes, give @next/bundle-analyzer a try!

One Page Changed Size

The following page changed size from the code in this PR compared to its base branch:

Page	Size (compressed)	First Load	% of Budget (145 KB)
/_error	181 B	81.92 KB	56.49% (+/- <0.01%)

Details

Only the gzipped size is provided here based on an expert tip.

First Load is the size of the global bundle plus the bundle for the individual page. If a user were to show up to your website and land on a given page, the first load size represents the amount of javascript that user would need to download. If next/link is used, subsequent page loads would only need to download that page's bundle (the number in the "Size" column), since the global bundle has already been downloaded.

Any third party scripts you have added directly to your app using the <script> tag are not accounted for in this analysis

The "Budget %" column shows what percentage of your performance budget the First Load total takes up. For example, if your budget was 100kb, and a given page's first load size was 10kb, it would be 10% of your budget. You can also see how much this has increased or decreased compared to the base branch of your PR. If this percentage has increased by 20% or more, there will be a red status indicator applied, indicating that special attention should be given to this. If you see "+/- <0.01%" it means that there was a change in bundle size, but it is a trivial enough amount that it can be ignored.

[github-actions]

📦 Next.js Bundle Analysis for @10up/headstartwp

This analysis was generated by the Next.js Bundle Analysis action. 🤖

This PR introduced no changes to the JavaScript bundle! 🙌