refactor: pass request prefs explicitly (#13537) - #13608

Closes #13537

refactor

Technical

• Removes hidden web.input() reads from the three preference helpers.
• Threads provider_pref through book-page edition selection, lending state, provider-aware macros, and search-result enrichment.
• Keeps providerPref separate from Solr query parameters, so /search?providerPref=ia retains the existing empty-search behavior.
• Preserves the empty layout query value as an explicit override of the remembered cookie.
• Adds no tests, per the issue instructions.

Testing

• Focused existing suite: 72 passed (upstream code/models, lending, and worksearch).
• Full local suite with temporary socksio dependency: 6,095 passed. It is not fully green because docker/mockservices is unavailable locally (31 errors) and one existing async expectation does not reproduce under Python 3.14.
• Project pre-commit hooks passed for all changed files. The CSS and JS hooks were skipped because no CSS or JS changed and their Node hook installation is blocked in this local environment.
• Verified the three target helpers contain no web.input() calls and checked layout precedence for no value, cookie value, and empty query value.

Screenshot

No visual-layout change; this is request-parameter plumbing only.

Stakeholders

@RayBB