feat(core): add Search component

[jorgemoya]

What/Why?

Moves all styling logic out of QuickSearch in favor of a Search ui component. Looks and behaves the same as before.

Testing

Locally.

[changeset-bot[bot]]

🦋 Changeset detected

Latest commit: 9b55472bf5f4a77aa9535069ee29c003b69a3477

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

This PR includes changesets to release 1 package

| Name | Type | | -------------------------- | ----- | | @bigcommerce/catalyst-core | Patch |

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Name	Status	Preview	Comments	Updated (UTC)
catalyst	🔄 Building (Inspect)	Visit Preview	💬 Add feedback	Aug 7, 2024 3:53pm
catalyst-latest	🔄 Building (Inspect)	Visit Preview	💬 Add feedback	Aug 7, 2024 3:53pm

5 Skipped Deployments

| Name | Status | Preview | Comments | Updated (UTC) | | :--- | :----- | :------ | :------- | :------ | | **catalyst-1millionproducts-store** | ⬜️ Ignored ([Inspect](https://vercel.com/bigcommerce-platform/catalyst-1millionproducts-store/HCAhcsthzNNB98aY9BnvEtJ2dj7i)) | [Visit Preview](https://catalyst-1millionproducts-store-git-651504-bigcommerce-platform.vercel.app) | | Aug 7, 2024 3:53pm | | **catalyst-au** | ⬜️ Ignored ([Inspect](https://vercel.com/bigcommerce-platform/catalyst-au/GviRkACv9iYFLm1aekEEo2sJAXk3)) | [Visit Preview](https://catalyst-au-git-search-component-bigcommerce-platform.vercel.app) | | Aug 7, 2024 3:53pm | | **catalyst-test-store** | ⬜️ Ignored ([Inspect](https://vercel.com/bigcommerce-platform/catalyst-test-store/p1H9Qztr65PouAB7LPpNAKkJCsj4)) | [Visit Preview](https://catalyst-test-store-git-search-component-bigcommerce-platform.vercel.app) | | Aug 7, 2024 3:53pm | | **catalyst-uk** | ⬜️ Ignored ([Inspect](https://vercel.com/bigcommerce-platform/catalyst-uk/7J9Dhuueyi8FzPPD2WdDByBmGUE4)) | [Visit Preview](https://catalyst-uk-git-search-component-bigcommerce-platform.vercel.app) | | Aug 7, 2024 3:53pm | | **catalyst-unstable** | ⬜️ Ignored ([Inspect](https://vercel.com/bigcommerce-platform/catalyst-unstable/CHGx4NrGrggx65PLPJc9DaT5xQmb)) | [Visit Preview](https://catalyst-unstable-git-search-component-bigcommerce-platform.vercel.app) | | Aug 7, 2024 3:53pm |