Staff of Moses or Aaron?

According to Exodus 4 Moses was given two specific signs to show "Pharaoh". The first sign given to Moses was his staff turning into a serpent Exodus 4:3-5. The second sign given to Moses was his hand turning leprous, white as snow Exodus 4:6-7. Yahweh specifically tells Moses if they do not believe in the first sign then they should believe in the second Exodus 4:8. Yahweh also tells Moses these signs are to be shown to Pharaoh

And the LORD told Moses, “When you arrive back in Egypt, go to Pharaoh and perform all the miracles I have empowered you to do (Exodus 4:21)

Note the instructions given by Yahweh was all these miracles are to be performed in front of "PHARAOH" to convince him that Moses was sent by God to free the Israelites.  Surprisingly. this happened. Instead the staff of Aaron was used to convince Pharaoh, nor did Moses show his hand turn leprous white. Why did Yahweh give Moses two miracles and instruct him to use it in the presence of Pharaoh, but instead changed this mind and passed it on to Aaron?

“When Pharaoh says to you, ‘Perform a miracle,’ then say to Aaron, ‘Take your staff and throw it down before Pharaoh,’ and it will become a snake.” (Exodus 7:9)

Here Aaron is asked to use his staff not Moses? What exactly was the point for Moses to have the staff when it was not in use? If you read the other signs give to Moses were all also performed by the staff of Moses.

Exodus 7:19 Aaron is told to stretch his staff over the water to turn it into blood? Wasn't that the miracle of Moses Exodus 4:21?

Exodus 8:5 Aaron is told to stretch his staff over the streams so frogs can come out? Wasn't that the miracle of Moses Exodus 4:21?

Exodus 8:17 Aaron is told to strike his staff on the ground so it may turn into swarms of gnats? Wasn't that the miracle of Moses Exodus 4:21?

Are you following this inconsistency? Those to try to defend Moses did show his sign to the Israelites Exodus 4:30-31, note this cannot be applicable to Exodus 4:21 as Yahweh specifically instructs Moses, singularly when he arrives back to Egypt " go to Pharaoh and perform all the miracles I have empowered you to do". Showing miracles to Israelites and making them believe contradicts Exodus 5:1-21 where Pharaoh puts more burden on the Israelites by taking away straw, so they struggle to make bricks.  If they believed Moses's sign as mentioned in Exodus 4:31 why did, they rebuke him in Exodus 5:21? Indeed self-contradictory.

Again, one would ask what was the point of Moses having the two signs given in Exodus 4:3-7 when he never got us use it on Pharaoh?