Very sensible advice - the main thing is you want "bad" behaviour to stop. Kids under 7 don't usually understand completely the difference between "lying" and "wishful thinking" and if they also have ASD, they might not understand till a much older age still.
All too often, the teachers only notice one child misbehaving when in fact, others have done things to stir them up.
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Break out you Western girls,
Someday soon you're gonna rule the world.
Break out you Western girls,
Hold your heads up high.
"Western Girls" - Dragon