could you already test the ESP32-S2 Beta IDF and these Toolchain with HTTP request "protocol" example / or Basic function for you?
also for interest - can you say, what (ESPRESSIF) PSRAM is soldered on the Modul / Board?
Is it 32M or 64M ( PSRAM32 / PSRAM64 )? also which SPI Flash? 32M / 64M / 128M .. ?
edit and Board pic upload:
it looks like
FLASH : 25Q32CSIG PSRAM: ESP-PSRAM-?? right?