When Takao was about to be sunk/Killed as a target ship until a Female Knight with golden armor gave her some time to escape and from there she was hunted by Eagle Union and Royal Navy shipgirls,
But she fled from Fuji Mountain and was about to die...
As she head to the source of the SOS signal she saw a huge cave big enough to hide a warship inside and enters it and when she enters it and she was shocked to see who it was
It was Musashi, The Second sister of Yamato and the hugest Battleship built in the world along with Yamato
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(Imagine she is injured and her ship is beside her)
She saw a very injured Musashi and her ship parked at the cave and it was in a really bad condition
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(Imagine Musashi(Shipgirl) is beside with her ship and it was inside the cave)
And as Takao saw this her sword shine blinding her and Musashi and as the light disappeared Musashi's ship is fixed and Musashi's wound are gone but she was still unconscious and so Takao picks Musashi up and brings her inside Musashi's new ship as Ms. Fuji's wisdom cube inside the sword fixed everything
A few hours later
We could see Musashi waking up and saw Takao
Takao: Your Awake Lady Musashi
Musashi: Takao!
and then suddenly Musashi hugged Takao and then Musashi realized something
Musashi: W-What happened to the war is everyone-
Takao: Everyone is scrapped or sunk leaving both of us and Lady Mikasa the only ones left
As Musashi heard this she cried as she discovered how her older sister Yamato, died in the worst way possible and from there Takao shared her condolences to her and after a few minutes she managed to calm down and from there Takao explained the true reason why the war truly started and it made Musashi angry and happy a Takao avenged everyone by giving the Grey Ghost a slowly and Painful Death
and then The Manjuu's that were inside Musashi's ship(Yes Manjuu's existed here) delivered some food inside the room where the 2 are and the two eat the food and while they are eating Takao asked how did Musashi survived(In this story Yamato and Musashi aren't trained on how to summon there rigging but they were trained on how to move the ship, detect enemies and control it's guns and how to fire it)
And from there Musashi explained to her that she managed to summon her ship rigging just in time before it sank as the crew left her with the manjuu's staying at the ship and as she summoned her ship riggings for the first time she heads to a cave to hide herself and tries to call for help only for her to loose consciousness after that that's all she remembered before Takao came to save her
Takao theorized that Musashi's wisdom cube kept her alive despite her injuries with the manjuu's kept repeating Musashi's SOS signal inside her destroyed ship at the time
But Nevertheless at least Takao isn't alone anymore she'll do her best to protect Lady Musashi no matter what