Google Search MCP Server

Parameters:
    q: Query string. Trimmed; required.
    num: Number of results to return (1..10; clamped).
    start: 1-based index for pagination start (clamped to >=1).
    siteSearch: Limit results to a site (or domain) per CSE rules.
    siteSearchFilter: "i" to include or "e" to exclude `siteSearch`.
    safe: SafeSearch level: "off" or "active".
    gl: Geolocation/country code.
    hl: UI language.
    lr: Language restrict (e.g., "lang_en").
    useSiteRestrict: Use the siterestrict endpoint variant.
    dateRestrict: Time filter (e.g., "d7", "m3", "y1").
    exactTerms, orTerms, excludeTerms: Query modifiers.
    cxOverride: Override the configured CSE ID (avoid echoing to clients).
    lean_fields: If True, request a smaller response via fields projection.

Returns:
    A dict with keys: provider, query (sanitized), searchInfo, nextPage,
    latency_ms, results (normalized), raw (subset), trace (q hash).

Raises:
    ValueError: For invalid parameter values (e.g., unsupported safe).
    RuntimeError: For Google API errors or network failures.