Turbo Beams? Options

[Espo]

Alright, I've run into a dilemma here. I was under the impression that the 3S-GTE was a red top beams engine, and was planning on swapping that into my ST later next year.

Now, I saw someone's thread in the general discussion forum and it seems the beams is only a 3S-GE, but the 4th generation of the 3S engine.

However, toyota engine code has been explained (as I understand it) as (Engine generation #)(Letter representing engine family)-(features, I.E. G being for performance, T for Turbo, E meaning EFI) so wouldn't this make the beams a 4S-GE...? I'm confused.

Nonetheless, I'm curious as to whether a 3S-GTE Red Top BEAMS was ever produced, or if turboing a beams is possible/practical as compared to just swapping in a 3rd gen 3S-GTE. I wanna hit 300-350whp fairly soon after my swap. I've been doing a lot of reading into the 3S and beams, but clearly I was understanding, lol.

Thanks in advance for any info/help.