Branded Banishment is a pretty good card for Dream Mirror (I guess) and a good way to search it is through sending Albion off of Mirrorjade. Full combo is access to Neiroy, the Dream Mirror Traitor and access to Branded Fusion.
For Dream Mirrors, we are playing 3 Neiroy, the Dream Mirror Traitor. This card by itself is the entire Dream Mirror line. However, you should be careful if you want to or not want to change its attribute because you will have access to more LIGHT Dream Mirrors than you do DARKS for the Dream Mirror Fusions. 2 Neiroy, the Dream Mirror Disciple. This card is a free summon if you search it off of Dark Neiroy. You don't want to really brick on multiple copies of this so playing 2 is fine. 1 Ikelos, the Dream Mirror Mara. As good as this card is, we are only playing it to get a DARK Dream Mirror for the Dream Mirror Fusions because we are not playing enough Dream Mirrors to make its effect to Summon a Dream Mirror from hand worthwhile. Also, it can Quick Effect to tribute itself if Dream Mirror of Joy is on the field to Summon Light Ikelos for a search. Ikelos, the Dream Mirror Sprite is a good Summon off of Dark Neiroy as you get a search for any Dream Mirror card as well as Dream Mirror of Terror. It also tributes itself for Dark Ikelos for a DARK. For the Branded part of the Deck, we are playing 1 Ad Libitum of Despia. This is a great card to play alongside Branded Banishment as it gets back something like a Mirrorjade or Dark Oneiros if you make something like Guardian Chimera with Banishment. 2 Aluber the Jester of Despia to search Branded Fusion off of Opening. 1 Fallen of Albaz of course and 3 Ash Blossom & Joyous Spring.
For Spell/Traps, 2 Dream Mirror of Joy and 2 Dream Mirror of Terror. Don't need to play 3 of each as we only need to play enough to cycle through them for Dream Mirror Recap or keep copies in hand or Deck for Dream Mirror Hypnagogia. 1 Dream Mirror of Chaos. You only need to play 1 or 2 just to get DARK Oneiros into play as the rest of your fusion plays can be made with Branded Banishment. 3 Dream Mirror Phantasms which searchs any Dream Mirror monster. 3 Branded Opening for Aluber. 3 Branded Fusion. 3 Pot of Prosperity. 2 Branded Banishment which can get you something like Guardian Chimera on your opponent's turn with Ad Libitum bringing back Mirrorjade or DARK Oneiros. 3 Infinite Impermanence. 2 Dream Mirror Hypnagogia which is like boneless Set Rotation for the Deck. 1 Dream Mirror Recap which mainly places a Dream Mirror of Joy or Dream Mirror of Terror from GY or banished face-up on the field. It can shuffle your tributed Dream Mirrors into the Deck, but that really is not necessary.
1 Guardian Chimera which is very accessible with Branded Banishment. 2 Mirrorjade the Iceblade Dragon. 2 Lubellion the Searing Dragon. 2 Albion the Branded Dragon to search Branded Banishment. 1 Alba-Lenatus the Abyss Dragon which can search Branded Fusion. 1 Oneiros, the Dream Mirror Erlking which can be summoned with DARK Oneiros and it floats into any Dream Mirror in GY. 2 Oneiros, the Dream Mirror Tormentor which is a monster negate when Dream Mirror of Terror is on field and can Tribute itself to Summon LIGHT Oneiros from Extra Deck. 1 Knightmare Unicorn. 1 Dharc the Dark Charmer, Gloomy. 1 Lyna the Light Charmer, Lustrous. 1 I:P Masquerena.
The side deck is just 3 Nibiru, the Primal Being, 2 Triple Tactics Thrust, 2 Lightning Storm, 1 Called by the Grave, 1 Harpie's Feather Duster, 3 Solemn Judgment, and 3 Evenly Matched.