You could use following JSON formatting formula for the Forecast Begin Date column.
{
"$schema": "https://developer.microsoft.com/json-schemas/sp/v2/column-formatting.schema.json",
"elmType": "div",
"txtContent": "@currentField",
"style": {
"color": "black",
"background-color": "=if(@currentField>@now + 2592000000,'green', if((@currentField>=@now + 1382400000) && (@currentField<@now + 2592000000) , 'yellow',if((@currentField>=@now + 691200000) && (@currentField<@now + 1296000000), 'orange', if((@currentField>=@now + 0) && (@currentField<@now + 604800000),'red',' '))))"
}
}
Result:
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