[ops] unify sparkcore and paycore searches into one (#22822)

## Reason

The sparkcore vs paycore ent searches is kind of frustrating because it doesn't indicate if it exists in one or the other. So I wanted to combine both into a single search so you don't have to toggle the schema manually (and it'll show results for both schemas)

## Overview

- deletes old searches for sparkcore and paycore
- queries both schemas for results in new unified search input
- search types are combined (defaults to auto if it doesn't exist for one of the schemas)
- shows the schema on the actual ent!

## Test Plan

works locally

![Screenshot 2025-12-24 at 6.08.51 PM.png](https://app.graphite.com/user-attachments/assets/58a9fb5e-b937-49eb-9f1e-ce2fb1d68e09.png)

![Screenshot 2025-12-24 at 6.08.56 PM.png](https://app.graphite.com/user-attachments/assets/8e456b16-b5a2-4910-8459-6cda78857ef2.png)

<!-- This is an auto-generated comment: release notes by coderabbit.ai -->
## Summary by CodeRabbit

* **New Features**
  * Unified search input consolidates results across schemas and shows schema on results.
  * CardPage header supports custom right-side content (used to show schema badges).

* **Refactor**
  * Replaced two specialized search inputs with a single unified one for consistent behavior.
  * Inspector now uses a single link component for entity navigation for consistent styling.

* **Chores**
  * Removed legacy per-schema search components and related query wiring.

<sub>✏️ Tip: You can customize this high-level summary in your review settings.</sub>
<!-- end of auto-generated comment: release notes by coderabbit.ai -->

GitOrigin-RevId: 7ae439a34e2c04d40bf2163190a78179dfbf000a

Author: bsiaotickchong

packages/ui/src/components/CardPage.tsx

@@ -28,6 +28,7 @@ type Props = {
   maxContentWidth?: number;
   rightContent?: React.ReactNode;
   preHeaderContent?: React.ReactNode;
+  headerRightContent?: React.ReactNode;
   expandRight?: boolean;
   id?: string;
 };
@@ -43,6 +44,9 @@ export function CardPage(props: Props) {
       <Heading type="h1" m0>
         {props.title}
       </Heading>
+      {props.headerRightContent && (
+        <CardPageHeaderRight>{props.headerRightContent}</CardPageHeaderRight>
+      )}
     </CardPageHeader>
   ) : null;
 
@@ -350,6 +354,11 @@ const CardPageHeader = styled.div<{ headerMarginBottom?: number }>`
   }
 `;
 
+const CardPageHeaderRight = styled.div`
+  display: flex;
+  align-items: center;
+`;
+
 export const CardPageContent = styled.div<CardPageContentProps>`
   ${({
     maxContentWidth,