All rifles shoot somewhat better after a few rounds have been fired through them vs when new. Some need 5-10 rounds, some need 100 or more before they reach their true potential.
There are some elaborate methods where people advise cleaning after every shot for X number of rounds, then after aver 5 shots for a while, then every 10 shots fr X number of rounds.
New barrels might be a little rough and more frequent cleaning may make it easier to clean when they are new.,But I don't believe for a second that any of this makes the barrel any more accurate.
The barrel can't count and doesn't know how many rounds have been through it. I buy a new rifle, shoot it, clean it when it is dirty and don't worry about any specific routine.