Official Reason for the Turtles' assigned Bandana Colors & Weapons?

[Refractive Reflections]

Hi everyone,

So I searched the posts on this forum about this topic, but most of them seem to poll whether people prefer all red or multi-colored bandanas, or people giving personal opinions for the meaning behind the colors.

But...
Did ANY of the comics/toons/movies explain why the Turtles had their assigned colors or weapons? (Either from the stories OR the writers/creators [Eastman and Laird]) I remember the Archie comics explaining it, but I'm unfamiliar with it. (For sure I know the OT and the movies did not.)

As for the bandana colors, we could trace it back to the development of the OT to tell the Turtles apart, BUT were they just randomly assigned or was there any implicit meaning behind them? Yes, I know we all have our personal opinions but was there OFFICIAL explanation from Eastman & Laird or from the OT's animation studio? Do any other comics/toons/movies explain this in their storytelling?

As for the assigned weapons, we could trace it back to the source with Mirage comics. Did the comics ever explain it? Did Eastman and Laird explain it? (It's just interesting to hypothetically consider the other Turtles using different weapons like Donatello using katanas, or Raph using them, or maybe Leonardo using nunchukas...any combination you guys can think of.)

Anyways though...the reason I wanted to ask this question is because I think it could have given the storytelling a lot of depth into the Turtles personalities in explaining exactly WHY Splinter gave those particular colors/weapons to each Turtle and what trait/characteristic he sees in them shine through. At the very least, it would provide an interesting backstory.

As always, thanks for all of the input and responses!