Does one who missed the Fajr prayer due to idleness and then made it up with the Dhuhr prayer after waking up ten minutes before the Dhuhr adhan incur sin?

Prayer is obligatory only upon reaching puberty. All missed prayers after puberty must be made up immediately, and one should perform many make-up prayers until they are reasonably certain that their obligation has been fulfilled. The time for Fajr prayer ends at sunrise, and it is not permissible to delay it. As for sleeping before the prayer time begins, it is permissible, but one must take measures to ensure they wake up. If you wake up before Dhuhr with enough time to pray Fajr and you do not, you have not committed a major sin. As for sins, they must be abandoned immediately, and one must repent to Allah.