My kids took concurrent enrollment classes while in HS. (20+ quarter credits) Classes are not on HS transcript or part of HS requirements.
In my experience, your D will be a freshman applicant. She will be required to report all classes and grades from both HS and college which will be used to review her academic performance. even though the classes are not on her HS transcript. This is not optional.
For California publics you self report all schools and grades. If admitted and accept, you then send all transcripts.
You list both HS and colleges attended on the private school application. You will also have you submit the transcripts from all schools. Our HS sent the HS transcript. I then had to order the college transcript to be sent separately.
She doesn’t get to choose what’s transferable or not. She’ll report all classes and the school will determine. If those classes are not part of her education plans, she will take the classes needed to fulfill her degree requirements and graduate with extra credits.
The extra credits may give her advanced standing which may give her as advantages during registration.