Then I have a tip for you.
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For those who do not want in the area for animals to search for farms.

Animals spawn at night ever since, where grass / earth and there is light. And that can be exploited easily. Looking for a larger area (the bigger, the more animals) and moved to the area is a high wall, 2 blocks, eg from Cobblestone.

Lights all good with torches, waiting until it is night, turning a lap around the block and come back after about 3 minutes. And then a huge herd of animals should be there.