By HALELUYA HADERO and CHRISTOPHER RUGABER, Associated Press Business WritersWASHINGTON (AP) — Perplexity AI has presented a new proposal to TikTok’s parent company that would allow the U.S. government to own up to 50% of a new entity that merges Perplexity with TikTok’s U.S. business, according to a person familiar with the matter.The proposal, submitted…