210.11(C)(3):
In addition to the number of branch circuits required by other parts of this section, at least one 120-volt, 20-ampere branch circuit shall be provided to supply a bathroom receptacle outlet(s). Such circuits shall have no other outlets.
I didn't think it was that complex, but lets break it down.
First the title is Bathroom branch circuits
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In addition to ..." it is talking about all of 210.11 or at very least all of 21.11(C) not jut the bathroom ...
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at least one ...." there will be at least one 20 amp circuit
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shall be provided to supply a bathroom receptacle outlet(s)", note how they designate singular or plural, which designates one or all receptacles.
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Such circuits shall have no other outlets." Meaning no outlets outside the bathroom, and there is an exception for conditions involving multiple bathrooms.
JMO, feel free to take me down if you have a better interpretation.
At one time NEC had no such requirements for bathrooms, if you run into something that was compliant but no longer would be today, generally the existing is still compliant to most AHJ. Some may not want you to add to anything that wouldn't be compliant today though, and may limit just what changes you could make before needing a new circuit.
Lighting outlets are not required to be on 20 amp circuits, but are not prohibited from being on the same 20 amp circuit(s) that supplies the receptacle(s) in the same bathroom.