Can we write an Agent logic with status which is updating through REST API?

Summary:

I want to write an agent logic on invoice object when some particular invoice status is changing in OTM through REST API.

I have created the invoice agent which is checking that invoice status changed but some status is update through rest api then that OTM agent is not triggering.

Does Agent do not work when it comes to REST API update?

Can someone help me on this?

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