Oh, and here I thought this would be a smart thread full of pictures. All of them are paragraphs.. whoopee.
I don't feel like writing a full length response, but preta path absorbs any type of chakra for an endless time period; a whirlpool that is infinite as described by the Databook.
Shinra Tensei deflects all matter through gravity and Chibaku Tensei pulls matter in.
Second of all, that was Full Kurama's Bijuu Dama, not the Yin Halves, which is equal to Yangs which is much less in size.
The other paths are worthless here as were poorly explained. Anyways, a diagram, here's what will happen.
1. Minato Starts in BM
2. Should set up the field with FTG Kunai, no biggie at ALL
3. Minato goes full cloak, which Nagato counters with Animal Path, so does he counter gamabunta with such
4. TBB Makes the Chakra Absorbing Cerberus grow to a large scale of numbers which Solo gamabunta and the toads
5. Minato's constant attempts to close in are stopped by Shinra Tensei and Seperate Arms, machine guns, heat seeking msisles etc
6. When he teleports to another area with the kunai, bansho ten'in him in
SIDE-OPTIONS for Nagato
1. Chakra Poles, especially the ones obito used to bind uh.. idk.. BIJUU
2. Human Path to read the battle-plan of minato and devise something to counter it, or Naraka Path (have KOH already there) and make him deactivate BM or reveal every single one of his next moves, and if he is lying he is killed (he's gonna warp away fast so taking his soul won't work here, though the naraka path option is likely suitable for a kill)
SEVERAL WAYS HE CAN DIE
1. Bansho Ten'in him into a heatseeking missle after removing the FTG Kunai
2. After all the chakra is absorbed with preta path (absorbs all chakra based attacks infinitely, databook FACT, not disputable), Chibaku Tensei gets rid of him and the kunai.
3. The cerberus (Using tbb on the thing is a terrible idea, it multiplied like 5-10 times with a RASENGAN variant and it's gamabunta size.)
4. Chou Shinra Tensei (nothing is getting over this)
Low diff, mid diff at most.