My first personal suggestion is you run the most cards possible. Secondly, whoever told you Xyz and Pendulums not working together is foolish. Xyz is the most popular combination with Pendulums until the new Metalfoe theme.
But it sounds like you inherently have an issue with Draw power and Search Power. The new draw card "Pot of Cupidity" as it's currently called, sacrifices 10 cards from your Deck to draw 2 but that might be hostile to Zefra.
You should be using the search effects of your Shaddolls, Nekroz and Satellarknights to get nearly whatever it is you seek.
And of course, it depends which direction you seek to go with Zefra. Do you seek to combine Shaddoll, Nekroz, Satellarknight and Yang Zing? Do you seek a more Satellarknight focus? Symphonic Warriors?
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But it sounds like you inherently have an issue with Draw power and Search Power. The new draw card "Pot of Cupidity" as it's currently called, sacrifices 10 cards from your Deck to draw 2 but that might be hostile to Zefra.
You should be using the search effects of your Shaddolls, Nekroz and Satellarknights to get nearly whatever it is you seek.
And of course, it depends which direction you seek to go with Zefra. Do you seek to combine Shaddoll, Nekroz, Satellarknight and Yang Zing? Do you seek a more Satellarknight focus? Symphonic Warriors?