feat(admin-ui): migrate admin search apis to connect rpc

[rsbh]

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Name	Status	Preview	Comments	Updated (UTC)
frontier	✅ Ready (Inspect)	Visit Preview	💬 Add feedback	Aug 1, 2025 9:39am

[coveralls]

Pull Request Test Coverage Report for Build 16671731907

Warning: This coverage report may be inaccurate.

This pull request's base commit is no longer the HEAD commit of its target branch. This means it includes changes from outside the original pull request, including, potentially, unrelated coverage changes.

• For more information on this, see Tracking coverage changes with pull request builds.
• To avoid this issue with future PRs, see these Recommended CI Configurations.
• For a quick fix, rebase this PR at GitHub. Your next report should be accurate.

Details

• 0 of 0 changed or added relevant lines in 0 files are covered.
• No unchanged relevant lines lost coverage.
• Overall coverage remained the same at 31.145%

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Totals
Change from base Build 16620617624:	0.0%
Covered Lines:	10073
Relevant Lines:	32342

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💛 - Coveralls

[rsbh]

Made the same changes in #1113