Did the Hebrews Break the Sabbath when They Sacked Jericho?

The question applies to the Hebrews taking of the city of Jericho on the Sabbath, as detailed here:

²Then the LORD said to Joshua, “See, I have delivered Jericho into your hands, along with its king and its fighting men. ³March around the city once with all the armed men. Do this for six days. ⁴Have seven priests carry trumpets of rams’ horns in front of the ark. On the seventh day, march around the city seven times, with the priests blowing the trumpets. ⁵When you hear them sound a long blast on the trumpets, have the whole army give a loud shout; then the wall of the city will collapse and the army will go up, everyone straight in.”

Joshua 6:2-5

The law of the Sabbath — the day of of rest (Exodus 20:8-11) — was already established when Joshua led troops into Canaan to conquer it. However, this law wasn’t applicable on this particular occasion for these reasons:

The Hebrews were at war at the moment due to God’s just judgment on the Canaanites after hundreds of years of gracious mercy (see Genesis 15:16).
Since the LORD is the One who gave the Sabbath command He can override the day of rest when necessary, which was essentially Jesus’ point in Luke 6:5.
The Hebrews were following the LORD’s instruction to march around Jericho seven times on the Sabbath and take the city.

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