💡 Detailed Explanation
The correct choice is Option 1: '12:30.' The movie starts at 2:00 PM ('映画は午後2時から'). The woman first suggests meeting 30 minutes before, which is 1:30 ('始まる30分前に...1時半か'). The man then makes a counter-proposal: 'もう少し早く会って、お昼ごはんを一緒に食べない？12時半はどう？' (How about we meet a little earlier and eat lunch together? How about 12:30?). The woman enthusiastically agrees ('いいね！じゃあ、12時半に...'), fixing the final meeting time at 12:30.