useralias 4fa7de8033
[refactor] duckduckgo engine: improve request logic and code structure (#4837)
Changes:
- Add trailing slash to base URL to prevent potential redirects
- Remove advanced search syntax filtering (no longer guarantees a CAPTCHA)
- Correct pagination offset calculation: Page 2 now starts at offset 10,
  subsequent pages use 10 + (n-2)*15 formula instead of the previous
  broken 20 + (n-2)*50 calculation that caused CAPTCHAs
- Restructure request parameter building to better match a real request
- "kt" cookie is no longer an empty string if the language/region is "all"
- Group related parameter assignments together
- Add header logging to debugging output

Related:

- https://github.com/searxng/searxng/issues/4824
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