Art.22 ¶1 declares:

The data subject shall have the right not to be subject to a decision based solely on automated processing, including profiling, which produces legal effects concerning him or her or similarly significantly affects him or her.

without stating who is liable for infringements. Paragraph 3 says

the data controller shall implement suitable measures to safeguard the data subject's rights and freedoms and legitimate interests, at least the right to obtain human intervention on the part of the controller, to express his or her point of view and to contest the decision.

That assumes the data controller is aware of and in control of the AIDM. Often data processors implement AIDM without the data controller even knowing. Art.28 ¶1 says:

Where processing is to be carried out on behalf of a controller, the controller shall use only processors providing sufficient guarantees to implement appropriate technical and organisational measures in such a manner that processing will meet the requirements of this Regulation and ensure the protection of the rights of the data subject.

Of course what happens in reality is processors either make no guarantee or the guarantee is vague with no mention of AIDM. So controllers hire processors blindly. When the controller is some tiny company or agency and the processor is a tech giant like Microsoft or Amazon, it’s a bit rich to put accountability on the controller and not the processor. The DPAs don’t want to sink micro companies because of some shit Amazon did for which the controller was not even aware.

As a data subject I have little hope that a complaint of unlawful AIDM will play out. It’s like not even having protection from AIDM. Article 29 Working Party wrote AIDM guidelines in 2017, but they make no mention of processors.