Why didn't the Americans seize Saddams oil wells in 2003 war?

Instead of sending troops into dense cities where they ended up getting sniped and ambushed. Why didn't the Americans simply seize Iraqi oil wells and thus deprive the Baghdad regime of all income? Saddam would have withered and died as oil was his only income. The Americans would only need about 5-10000... show more Instead of sending troops into dense cities where they ended up getting sniped and ambushed.
Why didn't the Americans simply seize Iraqi oil wells and thus deprive the Baghdad regime of all income?

Saddam would have withered and died as oil was his only income.

The Americans would only need about 5-10000 troops with tanks and artillery guns to hold on and entrench into these positions.
With very low losses and then American oil contracts simply suck Iraq dry faster then an Amsterdam hooker.
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