invalidate_search_cache(query) built its cache key as
generate_cache_key(f"{query}|10|None"), but the write path
(searxng_search_results) replaces the caller's default count of 10 with the
admin-configured _get_result_count() (default 5) before building the key.
So a default search for "X" is cached under "X|5|None", while invalidation
looked for "X|10|None" — they never match, and invalidate_search_cache
silently failed to remove anything in the default configuration, violating
its docstring ("invalidate ... just the given query").
Derive the count from _get_result_count() so invalidation matches the
default-search entry the write path actually stores. The same bug (and fix)
applies to both the src/search and services/search copies.
Note: time-filtered variants (e.g. "X|5|day") still aren't reachable from a
query-only signature, since cache keys are opaque SHA-256 hashes with no
stored query; clearing those would need a broader cache-index redesign and is
out of scope here.
Adds tests/test_search_cache_invalidation.py covering the default-count case.