Let us make this clear. The word entanglement in webster dictionary
1a : the action of entangling : the state of being entangled
1b : something that entangles, confuses, or ensnares
2: the condition of being deeply involved , their entanglement in politics
has been taken over by quantum physics nomenclature, or the sense of 2
There is no "action" as you describe.
You are thinking in terms of classical physics, but the word has been used to describe quantum mechanical observations and solutions of quantum mechanical equations .
You could use the word for classical physics : If you solve the gravitational equation for a planet with a satellite revolving around it the total angular momentum of the system is zero, if then you measure the angular momentum of the satellite, you do not have to measure the angular momentum of the planet, because of conservation of angular momentum, you know immediately that it must be the negative.
The word is not used in classical physics because it is so evident a situation and it is not necessary to give a particular name to the condition.
Quantum mechanics has very well defined equations which describe the dynamics of quantum systems , they predict probabilities for measuring particles at specific locations with specific energy and momentum , after an interaction, not the exact values describing classical physics interactions. Nevertheless, conservation laws are strict and also apply to quantum mechanical solutions.
In a quantum mechanical solution for a specific problem there are a number of conservation laws in addition to energy, momentum and angular momentum, there are the conserved quantum numbers.
Two particles decaying from a quantum mechanical state with total spin zero by conservation of angular momentum will have to have equal and opposite spins, as with the decay of a pi0 into two gamma, the pi0 having spin zero and the gammas each carrying spin one, +1, or -1 in projection on their direction of motion. No matter how far away one then measures one of the gammas spin projection, the spin projection of the other is immediately known. No probabilities because it is just a conservation law.
This needed no special word to describe it until the advent of the field of quantum computing , where many particle systems are set up in a quantum state , they needed a simple word to describe the effect on the bits they were using as bits in the computation set up. They called "entangled" the particles that by conservation laws have to carry quantum numbers uniquely correlated to each other by the quantum mechanical solutions. So if one measures the values for one, the values for the other is immediately known.
No action has to take place for this knowledge to be transmitted because it is in the fixed quantum mechanical mathematical solution.
Breaking entanglement means that a measurement was taken, new interactions, and the quantum mechanical solutions have new boundary conditions. In the planet example above it would mean an asteroid hitting the planet and bringing new angular momentum in, changing the boundary conditions .