The 13700K gives the 5800X3D an absolute spanking overall, so this is not even a contest. Plus if you keep it for a long time the better CPU makes even more sense. Paying 33€ more a year is nothing by comparison. Though you did not mention what you will actually use it for so we're just left throwing darts in the dark based on our biases.
On the other hand I'm not sure why you wouldn't go AM5 and then 5 years or so in you will be able to drop a 9950X3D or whatever's end-game on AM5 then and you'll have a much stronger system & won't need to re-buy RAM & Mobo, or fiddle with the build as much.
On the other hand I'm not sure why you wouldn't go AM5 and then 5 years or so in you will be able to drop a 9950X3D or whatever's end-game on AM5 then and you'll have a much stronger system & won't need to re-buy RAM & Mobo, or fiddle with the build as much.