Raster calculator: using coefficients stored in csv table

Question

I need to calculate an expression over 25 different rasters. The function is the same for all rasters, but the coefficients are raster-specific. I would like to tell PyQGIS to select the relevant coefficients and then feed them into GDAL raster calculator formula.
To be more specific, I have rasters named as nl_y, where y is a numeric identifier, and coefficients relative to each y stored in a table (my_file_csv).

What I have tried to do - following Houska's advise - is to: (i) import the csv table as a layer without geometry; (ii) create a string reporting the expression to be applied in the raster calculator; (iii) feed this string into GDAL raster calculator.
Below is the code doing this:

## (i) Import csv with coefficients
uri = "file:///my_file_csv?delimiter=,"   
L_coeff = QgsVectorLayer(uri, "csvLayer", "delimitedtext")
QgsProject.instance().addMapLayer(L_coeff)

for y in year:
    ## (ii) Select coefficients and compute formula
    for f in L_coeff.getFeatures():   
        if f["Var name"] == "Var 0":
            c0_y = f["Column " + y]
        if f["Var name"] == "Var 1":
            c1_y = f["Column " + y]
        if f["Var name"] == "Var 2":
            c2_y = f["Column " + y]

    formula_y = "(" + str(c0_y) + ")* (A > 0) + (" + str(c1_y) + ")* A + (" + str(c2_y) + ")* (A)^2"

    ## (iii) Raster calculation
    Fname_y = "nl_" + y + ".tif"
    processing.run("gdal:rastercalculator", {
        "INPUT_A": input_dir + "\\" + Fname_y,
        "BAND_A": 1,
        "FORMULA": formula_y,
        "OUTPUT": output_dir + "\\" + Fname_y})

I get output rasters but they have no-sense values - i.e. between 1.79769e+308 and -1.79769e+308, instead of having 0-63 range. My guess is that GDAL raster calculator does not correctly read the formula, even though when I print it, it is exactly identical to what I would write manually in GDAL algorithm.

Any idea on how I can apply raster calculation (not necessarily on GDAL!) in an automated manner using Python console in QGIS?