Maximum chlorine levels for starter?

Toast

Our city water is good, with chlorine about 0.6ppm, but it seems to kill my white starter, so I use a chlorine filter. Does anyone have an idea the maximum level of chlorine that should be used with starter?

... running some water the night before, and letting it sit in the refrigerator overnight until time to use it? That might be enough for the majority of the chlorine to escape.