When the king asked her request, what did Esther first invite him and Haman to?

Answer: A banquet

Rather than state her request at once, Esther invited the king and Haman to a banquet she had prepared, and then to a second one.

““If it pleases the king,” Esther replied, “may the king and Haman come today to the banquet I have prepared for the king.””— Esther 5:4 (BSB)