Hey guys. Any suggestions to solo these HTMB with PUP?
If you're talking VD solo, it's going to be a mess, not because it's hard, but because of Cataclysmic Vortex and Supernova. Cataclysmic Vortex can be handled fairly easily by just healing yourself back (though this might be rough if you're depending on timers and PUP self Regen), but Supernova is 100% Doom under 50%. I don't know how well PUP fares vs Doom status effect, but he can use this back to back and spam it when his wings are open, which is annoying if you don't have a Cursna/Holy Water set (Nicander's Neck, Purity/Blenmot+1 etc). You would have to resummon automaton often. I think it would take a really long time and not be worth doing it on VD. His other moves are fairly tame (though he instant-nukes, so you want to silence him).
You would be better served on RDM or SCH, IMHO. I think PUP would be a nightmare, but I'm not a very good one and am not capable of soloing stuff like that, so maybe you have a better chance than I could imagine.
FWIW, I encourage you to "try" it out a few times on lower difficulty until you get a feel for the battle. You lose nothing but time/ep, but learning experience is gained.