No, you do not need to renew the CAPM to schedule or take the PMP exam. They are completely independent credentials with separate eligibility tracks. Your PMP application
was already approved based on its own requirements (experience, education hours). The CAPM status has no bearing on that approval or on your ability to schedule the exam at Pearson VUE.
Save your $170. Once you pass the PMP, the CAPM becomes irrelevant anyway, since the PMP supersedes it in every practical sense.
One thing to keep in mind with your timeline: your PMP eligibility window is one year from the date of approval. If you got approved in January 2025, you have until roughly January 2026 to pass. If you got approved in January 2026, you have until January 2027. Make sure you know your exact window so you can plan your attempts accordingly.