The verses following spell out each thing included. So we don't have to guess whether the weekly is included. It includes the weekly Sabbath.
Eze 45:17 It shall be the prince's duty to furnish the burnt offerings, grain offerings, and drink offerings, at the feasts, the new moons, and the Sabbaths, all the appointed feasts of the house of Israel: he shall provide the sin offerings, grain offerings, burnt offerings, and peace offerings, to make atonement on behalf of the house of Israel.
Eze 46:1 “Thus says the Lord GOD: The gate of the inner court that faces east shall be shut on the six working days, but on the Sabbath day it shall be opened, and on the day of the new moon it shall be opened.
Eze 46:2 The prince shall enter by the vestibule of the gate from outside, and shall take his stand by the post of the gate. The priests shall offer his burnt offering and his peace offerings, and he shall worship at the threshold of the gate. Then he shall go out, but the gate shall not be shut until evening.
Eze 46:3 The people of the land shall bow down at the entrance of that gate before the LORD on the Sabbaths and on the new moons.
Eze 46:4 The burnt offering that the prince offers to the LORD on the Sabbath day shall be six lambs without blemish and a ram without blemish.
Eze 46:5 And the grain offering with the ram shall be an ephah, and the grain offering with the lambs shall be as much as he is able, together with a hin of oil to each ephah.