PowerBook G4 "15" 1.67 Dont boot

Hi! My PowerBook G4 1.67GHz Dont boot? Yesterday its Boot but my PB Battery is old and works only direct current.I Thinks Battery is Death when i put a Power cord in computer it is green light from the and press power itsnt Boot. Cause of the problem is not logic board or charger it is the battery 😟

Do the probleem fix when i buy a new battery or are other solutions? Thanks so much the answers

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