打つ and 撃つ: shared うつ with striking and shooting objects
Compare a ball and drum with a film's signal shot and a game's scoring condition.
打つ: a ball and three drum strikes
打つ (うつ) means to hit or to strike. 「選手は飛んできた球を強く打った。」 means “The player struck the incoming ball hard.” The player struck the incoming ball hard.
「祭りの始まりを知らせる太鼓を三回打つ。」 means “We strike the drum three times to announce the start of the festival.” The drum is struck three times to announce the festival's start; the count belongs to this example.
撃つ: a film signal and a game target
撃つ (うつ) means shoot or fire. 「映画の主人公は空へ合図の弾を撃った。」 means “The film's protagonist fired a signal shot into the air.” The protagonist fired a signal shot in a film; retain that setting.
「ゲームでは遠くの標的を撃つと得点になる。」 means “In the game, shooting a distant target earns points.” 撃つと得点になる states the game's condition for earning points.
Read the shared pronunciation and the condition
Both words are read うつ. Their objects and settings distinguish these striking and shooting examples.
The game condition does not report that the target was shot and points were already earned.
Does 撃つと得点になる in the game establish points already earned?
Show the answer and why
No. It states the condition for earning points by shooting the target. The separate drum example identifies a different object and three strikes.