Can Tabular Editor 3 read parameter values?

I don't think its possible for Tabular Editor to read the selections in slicers, but you can simulate it using TREATAS and variables. e.g. if you had a date slicer and a color slicer you could emulate the user selections with something like

DEFINE
    VAR myFilter =
        TREATAS (
            { ( 2022, 6, "Red" ) },
            'Date'[Year],
            'Date'[Month number],
            'Product'[Colour]
        )

EVALUATE
SUMMARIZECOLUMNS ( 'Product'[Brand], myFilter, "Sales Amount", [Sales Amount] )

You can use multiple filters in SUMMARIZECOLUMNS, so you could potentially have one filter per slicer rather than combining them.