Battery becoming very hot

Mattax- Thank you for all your assistance. Been working alot and just got home and began working on the Dart.
No prob. Lets see what you got and I understand what you're seeing and telling us.,
The photos don't always convey the color well so it makes it trickier.
blue wire goes to alternator.
If I understand correctly, the alternator output wire (looks black in photo of alternator) connects to the blue wire(you're holding in second photo) going in at position P?
Did you see a splice or is the whole length blue?
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Black wire has a fusable link and goes to starter relay
I can't see the black wire, but if this goes in position J, bottom corner of middle connector that makes sense. Since its red at the starter relay same question then. Is there is splice and are any other wires connecter?
View attachment 1715244198

Also do you know what the plug in the picture belongs to? Found it as I was looking at the wires.
Photo is too washed out. Do you have the shop manual? See if the color matches something in that area. Maybe windshield washer pump?

As far as the ammeter connections go, need to verify the blue one in both interior photos is the same wire.