It could be Rodrygo, but Real Madrid had to learn the hard way this season that backups are required. Signing TAA and then letting Rodrygo leave, I don't know if that is how it should play out. Rodrygo is not the best in my opinion, but not the worst either. I think regardless of signing TAA now, Real Madrid will be looking into an additional striker if they can.
I think Rodrygo should be sold. He has been underperforming and has been overrated in this team. Madrid needs a left-footed RW. I also do not think Rodygo is not all that. People always think about what he could do, instead of looking at what he has done. He is naturally a LW, and there's no way he would bench Vini or Mbappe in that position. For context, Mbappe is just 9 goals away from having more league goals than Rodrygo. This is Mbappe's first season, while this is Reodrigo's sixth season for Madrid.
If he goes to a smaller team, I think he will excel, but in a team like Madrid, there's no future for him, but I doubt he will leave because they hide it as they might, Madrid don't have the luxury to sign players as they want. They're struggling financially too, just as every other team in La Liga. They won't be able to afford another top LW this transfer window, thts why they're relying on free transfers.