Power to cluster 1973 dart

No it’s not.
this picture is from your post. The ammeter just measures which way current is flowing. Either from the alternator or the battery.

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It shows current flowing into or out of the battery.

Once the battery is recharged no current flows through the ammeter,
but the alternator producing power and the car keeps running.
The ammeter points to zero.

Alternator power does not flow through the ammeter - except to recharge the battery.

Field circuit branches off of the ignition run circuit

Illustrated here.
<snip>

How the alternator supplies and gets power:
When the engine is running the ignition needs power.
Current flows from the high voltage power supply, the alternator, through the key switch to the ignition.
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The voltage regulator senses the voltage in the blue wire (labeled J2B).
Inside the regulator is basically a switch. Opening and closing the switch makes and breaks power to create the electromagnetic field inside the alternator.
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More about the isolated-field alternator here: Identifying Chrysler Alternators (1960-1976)