Part 0 (explanation)
In this world dueling is legal, but any duels outside of training, sparring or tournaments is deemed illegal unless forced to duel.
Duel enforcers are pretty much the police of this reality lead by number 1 duel enforcer endeavour, who many look up to.
But not everything is as it seems, the duel enforcers are all corrupt, some having agreements with gangs to keep their activities under wraps for getting first at anything offered, that includes slaves, who were once duelists, but after being forced to duel and losing, got brainwashed into being hyper sexual, practically mindless, sex slaves to the person who pays the most.
People who have been through that process only have three things in mind, sex, servitude and submissiveness.
Duel idols are entertainers who get spotted and enrolled by agencies, the moon roses being the leading agency and has several people training to be duel idols.
Izuku and bakugou don't see eye to eye, bakugou thinks Izuku doesn't know the basics, Izuku knows bakugou doesn't know anything, other than fusion using Polymerization, their decks are also very conflicted, with each other.
Bakugou's deck is explo-tech which matches his hotheaded and fiery temperament, along side it showing his passion.
(Explo-tech machine type fire attribute monsters, with no fusion summon cards, other than polymerization and no other special summon mechanics.)
Contradictory to this, izuku's deck is watchhound, a deck that consists of six different attributes, and is much more complex, than simple dog themed cards.
Each monster aligns with a part of the NATO phonetic alphabet, but they also have each method of the six alternate summoning, methods, these being synchro, XYZ, fusion, link, pendulum and ritual.
When summoning the watchhound synchro Izuku will chant 'with sharp fangs that watch over the end with unwavering rage, I summon the wolf of Armageddon, special summon, howl, beast of the end, watchhound Fenrir.'
(Watchhound Fenrir level 7 dark fiend synchro)
When XYZ summoning Izuku will chant 'with tri heads that watch over the deceased, pounce up from the depths of hades domain, XYZ summon, guard of the underworld, watchhound Cerberus.'
(Watchhound Cerberus rank 4 fire pyro XYZ)
When link summoning Izuku chants 'with two heads that watch over life on the edge of the known world, bound from the plains to come to my aid, link summon, roar, the watcher of life, watchhound Orthrus.'
(Watchhound Orthrus link 2 earth beast-warrior)
When fusion summoning Izuku chants 'with noble and water adept features to watch the dead souls and devour the souls that are in denial of their sins, rise from the Nile to claim your prize, fusion summon, judge of souls, watchhound ammit.'
(Watchhound ammit level 8 water reptile fusion monster)
When pendulum summoning Izuku chants 'with tricks a plenty, this beast shatters what one believes, come from the wind wherever it blows, pendulum summon, punished trickster guardian of justice, watchhound kyubī.'
(Watchhound kyubi level 8 wind zombie pendulum monster. (L4 R7))
Then for the ritual summon Izuku chants 'as the moon shines to guide the souls of my sacrificed monsters to another life, decend with the celestial glow of the moon followed by your followers, ritual summon, dance within the moonlight, goddess of wolves, watchhound lupa'
(Watchhound lupa level 8 light beast ritual monster (requires 'Watchhound ceremony' to be summoned with tribute(s) equal to level 8 or higher, no lower. (watchhound ceremony's additional effect 'when you control three or more 'watchhound' extra deck monsters, you can play this card from hand like a quick play spell card')'