〜たところで means "even if" with futility — doing X won''t make a difference or change the outcome.
Futility - Even if you do X, it''s pointless
No change - X won''t affect the result
Even if we hurry now, we won''t make it.
Implies the effort would be wasted.
Verb た-form + ところで
Implies negative outcome — the action is pointless
Different from たところ (just when) — different meaning
Even if I apologize, I won't be forgiven.
Even if I try hard, the result won't change.
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