8:13a He observed the daily requirement for offerings according to the commandment of Moses

He did so according to the rule that Moses made about daily offerings.
-or-
Moses told the Israelites about the offerings they must give to Yahweh every day.

8:13b for Sabbaths, New Moons, and the three annual appointed feasts—

There were also offerings on the Sabbath dayds, at the new moons, and on the three annual feasts.
-or-
There were other offerings on the days of rest, offerings on the days of a new moon, and offerings at the three festivals the Israelites celebrated every year.

8:13c the Feast of Unleavened Bread, the Feast of Weeks, and the Feast of Tabernacles.

These were the Feast of Unleavened Bread, the Feast of Weeks, and the Feast of Temporary Shelters.
-or-
These festivals were the Festival of Bread with No Yeast, the Festival of Harvest, and the Festival for Living in Huts.

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