fix(auth): replace raw Cookie header with httpx cookie jar to fix #273#276

AmanSuryavanshi-1 wants to merge 4 commits intoteng-lin:mainteng-lin/notebooklm-py:mainfrom

AmanSuryavanshi-1:fix/issue-273-cross-domain-cookiesAmanSuryavanshi-1/notebooklm-py:fix/issue-273-cross-domain-cookiesCopy head branch name to clipboard