Blackbeard is Fame Villain imo, He wants The Throne & to turn Pirate Island into a WG-Affiliated Kingdom,
He is similar to Previous Fame Villains (Kuro, Wapol & Moria) who got tired of Playing Pirates & believed Throne belongs to them,
You can't be All Three, because The Goals cannot Co-Exist,
Buggy for example was a Wealth Villain, He wanted Island's Treasures while Destroying it,
Krieg on other hand was a Power Villain, and He would get Mad at any Scratch on Baratie, because He needs Place itself,
You can't have a Villain with both Mindset of Buggy & Krieg Together, let alone all Three Types,
Final Wealth Villain is Someone who wants to Plunder The World before Destroying it ---> Matches Imu so far
Final Fame Villain is Someone who wants to Inherit The World because He believes it's his Right ---> Matches Blackbeard so far
Final Power Villain is Someone who wants to Turn The World into his Fortress ---> Unknown so far
As for SHs, First Three are The Answer, (Zoro/Morgan were about Power, Nami/Buggy were about Wealth & Usopp/Kuro were about Fame),
While those Villains showed us the Bad Definition of those Terms, those Three SHs showed us the Right Answer,
Zoro's Arc showed us that True Power is your Will, (Koby was an Example) not Military Might,
Nami's Arc showed us that True Wealth is anything that you Treasure, (Chouchou was an Example) not Gold & Money,
Usopp's Arc showed us that True Fame is your Dream, (Kaya was an Example) not Status & Popularity,
Based on these Lessons, what did We slowly learn about Luffy? Compared to Roger who was said to have All Three by Author,
Roger was Revealed to have Will of D. same as Luffy, (Inherited through Ace)
Roger was Revealed to have Treasured Straw Hat same as Luffy,
Roger was Revealed to have a Secret Dream same as Luffy's,