If by any chance, the JTAG from the wrover kit does not work it might be because the TCK pin is bridged with GND underneath the ESP32 module. After searcing a bit I did found out that I'm not the first that encountered this problem.
The following error code is presented by OpenOCD:
Error: JTAG scan chain interrogation failed: all ones
The solution is to desolder the module and remove the short-circuit. The LCD screen needs to be removed first to avoid damage.
When soldering the LCD back make sure that you have the correct orientation for the band connector.
All done!!! I decided to solder a new wroover module instead.