Just going on memory, didn't the middle east flare up after Europe? Therefore it's no surprise that the middle east received what is essentially the dregs of the various nations militaries (in as far as they were the only units not already deployed).
In that case it doesn't matter what the best mix of units might be - the only mix is what little is available and hope to hell that it's able to do the job.
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If it moves, shoot it, if not push it, if it still doesn't move, use explosives.
Nothing happens in isolation - it's called "the butterfly effect"
Mors ante pudorem
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