Kicked the heck out of AP throw-in.

[referee99]

Local CYO game, 6th grade boys.
Both teams from same parish, wearing white unis.
Team A will wear red 'pennies'. Very sheer, almost pink over their white unis. All Team A team members wearing no tees or white tees... with red pennies.
Team B has 3 or 4 team members wearing red tees. (local CYO rule is no enforcement of tee shirt restrictions).
So we have a sea of red and white.

A/P throw-in after held ball on the end-line in Team B frontcourt. I'm administering. Don't know if I said white and pointed red, or visa versa.
Arrow is pointing Team B (white), hand ball to A1 (red) who inbounds the ball and off the players go to the other end of the floor. Partner and I are both surprised, but stay with the play.

I know immediately that I have screwed up, but also know what is done is done. No one else in the building knows we've kicked it. Oh well.

My question is...
Who gets the next A/P throw-in?

The arrow was Team B, erroneously gave it to Team A. It was an A/P throw-in that has ended. What is correct procedure? Switch arrow and award Team A next throw-in?

In this sitch next one went to Team B... but suspect that we may have to double down on the inequity here.