I would pull the sink. Since you don't want to do that, you could:
cut off the female nuts, install the faucet and solder the nuts back on
with slip couplings or
drill holes in nut at points (if not already there), stick an ice-pick
in holes and tap side of shaft of icepick with hammer while holding
handle of icepick. it will tighten rite up.
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hwm54112
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