Say I have a half hot switch and I only want the constant hot side to be protected by the gfci and the other half to be switched, how do I wire this? I have spent hours trying to figure it out already, thanks

Several ways, depends if you want the constant load and/or the switched load to be GFI protected.
No matter what, the loads hot and neutral need to be either on the Line side of the GFI or the Load side. The GFI will trip if the load is not the same on the Hot and the Neutral.
Not sure what you want protected, but if you wanted the constant hot half unprotected and the switched half protected, you will need to break the neutral tab on the side of the receptacle as well as the tab on the hotside.
Explain what you want protected, both? We can help.

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Several ways, depends if you want the constant load and/or the switched load to be GFI protected.
No matter what, the loads hot and neutral need to be either on the Line side of the GFI or the Load side. The GFI will trip if the load is not the same on the Hot and the Neutral.
Not sure what you want protected, but if you wanted the constant hot half unprotected and the switched half protected, you will need to break the neutral tab on the side of the recepticle as well as the tab on the hotside.
Explain what you want protected, both? we can help.

I don't know if the drawing above helps but I want only the constant half to be protected and the switched half to be NOT protected by the GFCI , (PS the above drawing obviously has something wrong to it but its how far I got and what I have now).

I don't see the drawing, but you will need 4 conductors from the GFI to the receptacle, The switched half will get its neutral from the Line side of the GFI and the switch will get its hot from the Line side of the GFI, and
Then you have a hot and neutral from the Load side to the unprotected half.

If this is romex(12-3), you can'd do it, but with 3 conductors you can protect the constant and switched halfs.
In that case the neutral tab remains intact, with neutral from load side of GFI to receptacle neutral and the constant hot will be from load side and switch will get power from load side hot as well.

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Need to type then click Post quick answer or reply. You'll get it, a little tricky.

Granddaughter is going to use computer, will be back later.

Here is what I think you said you want to do. Not sure why you would want to do it. I can see splitting the outlet but it should be either GFI protected or it should not. If one half should be GFI protected the other half should be also.