GDPR/Privacy liability when integrating Game Center

This may be a dumb question, but I can’t seem to find an answer that I understand.

If I integrate GameKit/GameCenter into my game, essentially just to auth and then unlock achievements, MAYBE a leaderboard; do I become liable for player data under for ex. GDPR? I don’t plan on sending it anywhere so I guess that’s why I’m so unsure.

GDPR/Privacy liability when integrating Game Center
 
 
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