Apps are forever associated with the AppleID from which they were purchased - this applying equally for Apps that are "free" to download. TouchID and parental approval only control the initial purchase process; once purchased, Apps associated with your AppleID can be re-installed without further authorisation.
Your parents may find this information to be helpful with setting-up an AppleID for a minor - and in considering appropriate controls.
Apple for Kids - Official Apple Support
Help your child set up an iPhone, iPad, or iPod touch - Apple Support
Family Sharing and Apple ID for your child – Apple Support
Use parental controls on your child's iPhone, iPad and iPod touch – Apple Support
ScreenTime Restrictions might be helpful - limiting time that specific Apps can be accessed - or in preventing you from installing any Apps on your iPad. This measure will, of course, require that a ScreenTime Passcode is set by your Parents that you do not know.
- Settings > Screen Time > Content & Privacy Restrictions > iTunes & App Store Purchases > Adding Apps - set to Don't Allow
- Settings > Screen Time > Content & Privacy Restrictions > iTunes & App Store Purchases > Deleting Apps - set to Don't Allow
- Settings > Screen Time > Content & Privacy Restrictions > iTunes & App Store Purchases > In-app Purchases - set to Don't Allow
More information on available ScreenTime controls can be found here:
Use Screen Time on your iPhone, iPad or iPod touch – Apple Support
Set up Screen Time for a family member on iPad - Apple Support