Re: "Apple Music redirected me to my university's website to verify my student status (for the first time ever), which made me realize that the email associated with my university was inactive at the time, when I retried verifying my status a couple days later after activating my \email, apple music kept saying that it's unable to verify as I "may have previously used a different apple account to verify my status". note that this is my first ever apple device and my first ever apple account."
Your Apple Account is the one account you use to access Apple services like the App Store, Apple Music, iCloud, iMessage, FaceTime, and more. It includes the email address and password you use to sign in as well as the contact, payment, and security details you use across Apple services.
Seems you may need to verify using that same Apple Account e-mail address you used when beginning the subscription ?
Apple support's article: Get an Apple Music student subscription - Apple Support may be helpful.
Eg: says:
"How to reverify your student status
Once a year, you will receive an email when you need to reverify your student subscription. You can reverify your student status in the Apple Music app on your Mac, PC, or Android. On an iPhone or iPad, you can reverify in Settings. You can also reverify on the web.
Reverify your student status in the Apple Music app on your Mac, PC, or Android
- Open the Apple Music app.
- Choose Verify Eligibility or Verify Student Status. Need help?
- Follow the onscreen steps to verify your student status.
- If the verification is successful, you'll automatically return to the Apple Music app and continue your Apple Music student subscription.
Reverify your student status in Settings on your iPhone or iPad
- Go to Settings > [your name] > Subscriptions.
- Tap Apple Music.
- Tap Verify Student Status. Need help?
- Follow the onscreen steps to verify that you’re a student.
- If the verification is successful, you'll see a confirmation screen.
Reverify your student status on the web
- Go to music.apple.com.
- Click Sign In and sign in to your Apple Account.
- Click your photo or monogram in the top-right, then click Settings.
- Under Subscriptions, click Manage.
- Select Verify Student Status. Need help?
- Follow the onscreen steps to verify your student status.
- If the verification is successful, you'll automatically return to the Apple Music app and continue your Apple Music student subscription.
You can also reverify on the Subscriptions tab when you sign in to account.apple.com."