refactor(specs): add interface between Search and Composition

[ClaraMuller]

🧭 What and Why

What

This PR refactors the Composition API client specs to introduce a dedicated Search.yml file that aggregates all Search API resource references.
Composition API should continue to expose resources from other clients as we plan to grow in API you can directly call. Having a clear separation of concern will make the evolution of the Composition API client easier.

Why

• Avoids duplicating direct $ref calls to Search API schemas in multiple files (all parameter that are shared between run and injection: filters, hitsPerPage, etc...).
• Simplifies maintenance: future updates to Search API specs can be managed in one place.
• Makes the dependency between Composition and Search explicit and easier to track.

Changes included:

• Created a new file specs/composition-full/common/params/Search.yml containing all Search API–related $ref definitions used in Composition.
• Updated Injection.yml and RunParams.yml to reference this new file instead of directly pointing to common/schemas/IndexSettings.yml, common/schemas/SearchParams.yml (the difference means nothing for Composition API) or complexe one like common/schemas/SearchParams.yml#/baseSearchParamsWithoutQuery/properties/facets
• This change is a refactor only, no functional behavior is altered.

🧪 Test

• CI
• Locally run
  • yarn cli build specs all
  • yarn cli build clients javascript

[algolia-bot]

No code generated

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📊 Benchmark results

Benchmarks performed on the method using a mock server, the results might not reflect the real-world performance.

Language	Req/s
javascript	1636
go	1622
php	1471
csharp	1321
python	1158
java	1018
ruby	800
swift	503
scala	23

[ClaraMuller]

This PR is basically the revert of this commit: c004dd2 from this merged PR #5125.

I saw there was question about it but I wanted to re-open the conversation as I believe this change make sense in a context of maintainability in the futur.